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jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smaller lawn is 144 square feet. in the equation (x – 8)2 = 144, x represents the side measure of the original lawn. what were the dimensions of the original lawn? a=4 feet by 4 feet 8 b= feet by 8 8 feet by 8 c= d=20 feet by 20 feet

Respuesta :

gloriastudies
We can solve this equation by using the Square Root Method.
First, take the square root of each side of the equation:
(x-8)^2 = 144 becomes x-8 = 12
Then add 8 to both sides.
x=20

The original lawn was d. 20 feet by 20 feet.

Answer:

d) 20 feet by 20 feet

Step-by-step explanation:

The original lawn reduced by 8 feet on each side.

The area of the smaller lawn is 144 square feet.

It is represented by the equation [tex](x - 8)^2 = 144[/tex], where "x" represents the side of the original lawn.

Let's solve for x.

Taking square root on both sides, we get

[tex]\sqrt{(x-8)^{2} } = \sqrt{144}[/tex]

(x - 8) = 12

Add 8 on both sides, we get

x - 8 + 8 = 12 + 8

x = 20

So, the dimensions of the original lawn is 20 feet by 20 feet.

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