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antoniya [11.8K]
2 years ago
15

A city manager wants to add a playground in a new city park. The rectangle below represents the plan for the dimensions of the r

ectangular playground.
area = x^2 + 18x + 45; Width=W; Length= x+15

a. Find the width (w) of the rectangle if the area of the rectangle is x2 + 18x + 45.
b. Find the dimensions (length × width) and the area of the playground if x = 8 yards.
Mathematics
1 answer:
tatiyna2 years ago
8 0
The answer to letter a is (x+3)(x+15). The answer to b is 640 yards.
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MatroZZZ [7]

Answer: Choice A.  (8, 4)

==========================================================

Explanation:

Because x = 2y, we can replace every copy of x with 2y

Let's do so in the second equation

3x - 4y = 8

3(x) - 4y = 8

3(2y) - 4y = 8 .... x replaced with 2y; now let's isolate y

6y - 4y = 8

2y = 8

y = 8/2 ..... divide both sides by 2

y = 4

Use this y value to find x

x = 2y

x = 2*4

x = 8

So we have x = 8 and y = 4 pair together to get the answer (x,y) = (8, 4) which is choice A.

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Answer:

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