The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer 1

Answer: [tex]16p^{2} -9[/tex]

Answer 2

The area of the rectangle is [tex]16p^{2} -9[/tex].

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The side length of square = 4p

The length of rectangle, l = 4p+3

The width of rectangle, w = 49-3

The formula of area of rectangle is

[tex]A=lw[/tex]

⇒ [tex]A=(4p+3)(4p-3)[/tex]                 [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]

⇒ [tex]A=(4p)^{2} -3^{2}[/tex]

⇒ [tex]A=16p^{2} -9[/tex]

Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].

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Related Questions

A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?

Answers

the answer is 6577.85 m^2

The area of the parking lot is 4606 square meter.

What is parallelogram?

It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.

What is the area of parallelogram?

The area of a parallelogram is the product of its base and height.

We have,

length of two adjacent sides are 70meters and 100meters.

And base of parallelogram is 70m.      (length of parallelogram is its base)

Angle between the adjacent sides is 70 degrees.

Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.

For the height of the parallelogram

In ΔADE, we have

[tex]sin70=\frac{DE}{AD}[/tex]           [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]

⇒ [tex]0.9397=\frac{h}{70}[/tex]

⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]

⇒ h=65.8m

Formula to find the area of parallelogram:

Area= base× height

so, the area of parking lot=base × height

substitute the value of base and height of the parallelogram in the above formula.

Therefore,

[tex]Area=65.8[/tex]×[tex]70[/tex]

[tex]Area=4606m^{2}[/tex]

Hence, the area of the parking lot is 4606 square meter.

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This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.

ASAP BEFORE 11:59

Answers

2 kilometers per trip

Answer:

whats the question

Step-by-step explanation:

thats the answer

Help me out

Length = m

Answers

[tex]perimeter = a + b + c[/tex]

[tex]perimeter = 4 + 3 + c[/tex]

//

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]

[tex] \sqrt{25} = 5[/tex]

[tex]c = 5 \: meters[/tex]

//

[tex]perimeter = 4 + 3 + 5[/tex]

[tex]perimeter = 12 \: meters[/tex]

//

[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]

Can you guys help me!!!

Answers

Answer:

I guess its the 3rd one not sure

what is the standard form of (-2/3)x - 4

( slope intercept )

Answers

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

Un reloj marca las 4:55 horas . Que valor tiene el ángulo que forman las manecillas? Escribe tu resultado considerando el ángulo positivo y el ángulo negativo.​

Answers

Answer: what does this say please help

Step-by-step explanation:

The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P

Answers

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

Which of the linear solution has no solution?

Answers

Answer:

c

Step-by-step explanation:

it will eventually cancel

The Answer Is C! :))

HELP AND WILL GIVE BRAINLIEST!!! Solve for x

Answers

Triangles add to 180.

180 - 57 - 43 = 80.

Vertical angles are always equal, so they are both 80 degrees in this case.

Now we know the top triangle has 80 + 2x = 180

2x = 100

Therefore x is 50 degrees.

Answer:

let the opposite angle of 43=y

57°+43°+y=180°[by sum of all angle is 180°]

100+y=180°

y=180°-100

y=80°

opposite angle of x is equal to the 80°

so the equation will be like this

x+x+80°=180°

2x+80°=180°

2x=180°-80°

2x=100

x=100/2

x=50°

so the value of x is 50°

Si un terreno tiene 15 m de ancho y 40 m de largo y ademas al lado existen 5 terrenos identicos ¿cual es el area de todos los terrenos?​

Answers

no se boy a septimodkxkdkdkdkdkdoi

Please Help!! I will give Brainliest to the correct answer!!

Evaluate 12.3s +11.9t when s= 3 and t = 4



Thank you so much

Answers

Answer:

84.5

Step-by-step explanation:

12.3(3)+11.9(4)=84.5

Answer:

87.5

Step-by-step explanation:

12.3 x 3= 39.9=s

11.9 x 4= 47.6=t

47.6 + 39.9= 87.5

Help please
3 |X-4| +1 = 19

Answers

The answer would be X = 10

plzz write with formula and explanation plzzzzzzzz

Answers

Given:

[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].

To find:

The unknown number.

Solution:

Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].

[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]

[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]

Multiply both sides by 16.

[tex]-33=-44x[/tex]

Divide both sides by -44.

[tex]\dfrac{-33}{-44}=x[/tex]

[tex]\dfrac{3}{4}=x[/tex]

Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].

Can someone plz help me with this?

Answers

Answer:

D

Step-by-step explanation:

because the odds have to be even if the possobility number is even


List the first five prime numbers ​

Answers

Answer:

2,3,5,7,11

Step-by-step explanation:

see above for the first five prime numbers

Answer:

2, 3, 5, 7, 11

hope this helps

have  a good day :)

Step-by-step explanation:


1. In the expression x2, 2 is what we call
A. Base
B. Exponent
C. Multiple ​

Answers

Answer:

hello! if you're talking about x², then 2 is what we call: B. Exponent.

2 would be the exponent. X would be the base.

Hi i need some help on this it will really help

Answers

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

Answer:

Diego can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.3333

He cannot buy part of a pizza, so you round it to 5.

In triangle KLM, the measure of angle M is 90 degrees, the measure of angle K is 75 degrees, and LM is equal to 6.3 feet. Find the length of KL to the nearest tenth of a foot.

Answers

Answer:

6.5feet

Step-by-step explanation:

Using the SOH CAH TOA identity

<K = 75 degrees

opposite = LM = 6.3 feet

Hypotenuse = KL

sin theta = opp/hyp

sin 75 = 6.3/x

x = 6.3/sin75

x = 6.3/0.9659

x = 6.5feet

Hence the length of KL to the nearest tenth of a foot is 6.5feet

what is the y value when x=-1?

what is the y value when x=0?

what is the y value when x=-1?

Answers

Answer:

2

0

-2

Step-by-step explanation:

sub x into formula

-2(-1)=2

-2(0)=0

-2(1)=-2

Answer:

60

Step-by-step explanation:

A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.

What is the value of y when the value of x is 1?

Which inequality has a closed circle when it is graphed on a number line?
x greater-than 0.4
x greater-than negative 3
x less-than 4
x greater-than-or-equal-to 3

Answers

Answer:

Less than 4 I guess??

This part I have scribbled so I can answer

no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh

Answer:

D

Step-by-step explanation:

4. (Claim 1 Example)
Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.
H
16 ft
Ladder
20 ft

Х
Ground
Select all equations that can be used to solve for e.
12
12
sino =
cos 0 =
A.
20
B.
20
tan
C.
12
20
16
sin =
20
16
cos O =
20
tan
16
20
D.
E.
F.

Answers

Answer:

D

Step-by-step explanation:

using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)

D is the only one that uses the correct equation of S = o/h

(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)

its d hope this helps

COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help​

Answers

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

what is bigger 6/5 or 4/5?

Answers

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

please help me with this

Answers

Answer: A. 2[tex]\sqrt[3]{6}[/tex]

Step-by-step explanation:

If a model of a dinosaur is 3.75 feet and the scale factor for the actual dinosaur is 1:24. What is the size, in feet, of the actual dinosaur?

Answers

Answer:     120

Step-by-step explanation:

Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.

LengthWidth=scaleactual=4l=scaleactual=8w

Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.

LengthWidth=4l=1160=8w=1160

Next, cross multiply each equation.

LLWW=4×160=640 feet=8×160=120 feet

Then, to find the area of the display, multiply length times width.

The actual size of the dinosaur is 90 feet.

What is a scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A model of a dinosaur is 3.75 feet,

and the scale-factor for the actual dinosaur is 1:24.

So,

the size of the actual dinosaur = model size x the scale-factor

The size of the actual dinosaur = 24 x 3.75

The size of the actual dinosaur = 90 feet.

Therefore, the actual size is 90 feet.

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Please help me to solve the 7th part !​

Answers

Answer:

i don't know

Step-by-step explanation:

sorry sorry sorry berry much

In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.​

Answers

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

Heidi is driving 200 miles. She has finished 80% of the drive. How many miles is 80% of Heidi's drive.

Answers

Answer:

160 miles

Step-by-step explanation:

200 * 0.8 is 160

Answer:

160 miles

Step-by-step explanation:

80/100*200

80*2

160

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

H
(3n - 15)°
(2n + 5)º
E
F
G
What is the value of n ?

Answers

I’m not good at math but I’ll help you the value of n is 20

10/27=a/135
what is the answer for this equation?

Answers

Answer:

So we have this equation:

10/27 =  a/135

What we can do is multiply  both sides by 27 and 135:

10*135 = a * 27

1350 = 27a

a = 1350/27. = 50.

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