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].

Learn more about the rectangles here

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Related Questions

What is the first error Holden made in his proof?

Answers

Answer:

Step-by-step explanation:

He didn’t show his work.

Answer:

Holden wanted to build “Australia's Own Car” and in 1948 the first Holden car was produced.

Hope this helps, pls mark me as brainliest

The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ? G. 100 H. 104 J. 114 K. 124

Answers

Answer:

J. 114

Step-by-step explanation:

x + y = 25

x - y = 13

2x = 38

x = 19

x = 25 - 19

x = 6

xy = (6)(19)

xy = 114

A cake recipe calls for 2 1/4 cups of flour. Mrs Allen measured 3/4 cup of whole wheat flour and plans to use bleached flour for the remainder. How much bleached flour should she use?

Answers

Answer:

she should use 1 2/4 cups of bleached flour

The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
bears, 5 bags of M&M's and 22 bags of skittles. Find the ratio of tootsie rolls to total candy in the store. Be sure
to simplify

Answers

Answer:

15:49

Step-by-step explanation:

15 : 10+12+5+22

15 : 49

Can't be simplified further.

15:49 because it cannot be simplified

0.7x-y=5.16 and 2-0.8x=0.4y round to the nearest hundredth? does anyone know this answer?

Answers

Step-by-step explanation:

What is the question? You have not stated the question.

Solve for xxx. Your answer must be simplified. x/3 ≥ −33

Answers

we can reduce it by multiplying 3 with -33
X>=-99 that’s your final answer!! I’m sorry about the sign. I couldn’t type it here

Answer:

x ≥ -99

Step-by-step explanation:

Its on khan academy

I really need help with this

Answers

The correct answer is D!

Wayne is going to send some flowers to his wife. Belmont Florist charges $1 per rose, plus $35 for the vase. Darrell's Flowers, in contrast, charges $2 per rose and $10 for the vase. If Wayne orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?

Answers

i think it would be a yes

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=47(0.63)
x

Answers

It represents decay because the term inside the parentheses (which is “b”) is less than one. To find the percentage rate, subtract b from 1 and multiply it by 100.

1-0.63=0.37
0.37(100)=37

So the final answer is 37% decrease.

Answer:

decay function

percent rate of decrease is 37%

Step-by-step explanation:

I assume the x is the exponent.

[tex] y = 47(0.63)^x [/tex]

The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.

Each unit more in x results in 0.63 being multiplied by the number.

Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.

Answer:

decay function

percent rate of decrease is 37%

-2x + 4 = -3x + 4
3
One Solution
No Solution
Infinite Solutions

Answers

Answer:

X=0 or no solution

Step-by-step explanation:

-2x+4=-3x+4

cancel equal terms on both sides of the equation

-2x=-3x

move the variable to the left-hand side and change its sign

-2x+3x=0

collect like terms

x=0

pls help! marking brainliest!!

Answers

Answer:

x = 52

Step-by-step explanation:

∡RQS = 180 - (90 + 34)

∡RQS = 56°

∡PQS + ∡RQS = 180°

∡PQS = x + 72

x + 72 + 56 = 180

x + 128 = 180

x = 52

4
1

(12−8×)=
3
2

(6×)

Answers

creo que es 32 por la cultura

perfect adjective word chain​

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Answer:

Tall, light, test, treat.

I think this ans may help you

HELPPP 25 POIIIIINTSS.......​

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Answer:

good luck, i hope this helps :)

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Answer:

option. c. 720°

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Answer:

720degrees

Step-by-step explanation:

Please help! I've looked everywhere! ​

Answers

Answer:

[tex]\frac{a^{2} }{4}[/tex]

Step-by-step explanation:

2[tex]\sqrt{2x}[/tex] = a

Divide both sides by 2.

[tex]\sqrt{2x}[/tex] = [tex]\frac{a}{2}[/tex]

Square both sides.

2x = ([tex]\frac{a}{2}[/tex])²

    = [tex]\frac{a}{2}[/tex] × [tex]\frac{a}{2}[/tex]

2x = [tex]\frac{a^{2}}{4}[/tex]

Help pls!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

9x6=54 ur welcome:)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The perimeter of a rectangle formula is P = 2*Length + 2*Width

The length is the largest side, so it's 9.

The width is the smallest side, so it's 6.

So, our formula would be like this: P = 2*9 + 2*6.

can someone tell the answers?

Answers

Answer:

IT B

Step-by-step explanation:

BECAUSE IT B

Answer:

A. B and D

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A because: X can be the minutes she goes over

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The bakers at Healthy Bakery can make 340 bagels in 10 hours . How many bagels can they bake in 24 hours ? What was that rate per hour ?

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Answers

Answer: 816

Step-by-step explanation:340+340=680 in 20 hours and 340 divided by 10=34/hour so 34x4=136

So.., 680+136=816

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
OX= -6 or x = 1
OX=-3 or x = -2
x= -1 or x = 6
Ox=2 or x=3

Answers

Answer:

x = -6 and x = 1

Step-by-step explanation:

Given the equation (x + 2) (x + 3) = 12

Equate to zero;

(x + 2) (x + 3) - 12 = 0

Expand

x^2+3x+2x+6-12 = 0

x^2+5x - 6  = 0

Factorize

x^2 + 6x - x - 6 = 0

x(x+6)-1(x+6) = 0

(x+6)(x-1) = 0

x+6 = 0 and x -1 = 0

x = -6 and x = 1

Hence the zeros are x = -6 and x = 1

Answer:

It's A: -6 or 1

Step-by-step explanation:

Edg 2022

Please I need help.
Find the measure of the angle DCB in the rhombus ABCD.

Answers

Answer:

53

Step-by-step explanation:

its the same to DAB because it is in the opposite side to the DAB

Answer:

Step-by-step explanation:

In Rhombus, diagonals are angle bisectors.

So, ∠DAC = ∠CAB

∠A = ∠DAC+∠CAB

    = 53 + 53

∠A = 106

In Rhombus, opposite angles are equal.

∠DCB = ∠A

∠DCB = 106°


[tex] {n}^{6} \times \frac{4}{25} {n}^{2} \times \frac{5}{4} {n}^{3} \times n[/tex]

Answers

Step-by-step explanation:

reduce the numbers by solving and add the powers

Sara uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

1.9

Step-by-step explanation:

7.6/4= 1.9

1.9*1= 1.9

ans is 1.9 pints

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Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).

Answers

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

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Answers

Answer:

0.2330

Step-by-step explanation:

Is 4x+1=f(x) a quadratic function?

Answers

Answer: no

Step-by-step explanation:

the x has to be squared to form a parabola with a vertex and 2 x intercepts

please help.
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only one answer please.

Answers

Decreasing, hope it helps

Answer:

Increase

Step-by-step explanation:

Hope this is correct

Solve the system of equations.
−10y+9x=−9
10y+5x=−5

Answers

-10y+9x=-9
solve for y=9/10+9x/10
solve for x=-1+10y/9

10y+5x=-5
solve for y=-1/2-x/2
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What number is 40% of 15? Round to the nearest hundredth

Answers

Answer:

6

Step-by-step explanation:

10% of 15 = 1.5x4=6
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