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?

4 feet by 4 feet

8 + feet by 8 +

8 feet by 8 +

20 feet by 20 feet

Question

Mathematics

Melany Simpson

11 April, 00:48

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?

4 feet by 4 feet

8 + feet by 8 +

8 feet by 8 +

20 feet by 20 feet

+4

Answers (1)

Know the Answer?

Avah · Answer 1

The answer is 20 feet by 20 feet. Let's solve the equation: (x - 8) ^2 = 144. (x - 8) ^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8) ^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.