Math, asked by Anonymous, 9 months ago

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
B. 8 + 6 StartRoot 2 EndRoot feet by 8 + 6 StartRoot 2 EndRoot
C. 8 Minus 6 StartRoot 2 EndRoot feet by 8 + 6 StartRoot 2 EndRoot
D. 20 feet by 20 feet

Answers

Answered by Agastya0606
7

Given: The area of the smaller lawn is 144 square feet.

To find: What were the dimensions of the original lawn?

Solution:

  • Now we have given she reduces the size of her square grass lawn by 8 feet on each side.
  • the equation is:

                 (x – 8)^2 = 144

  • Solving the equation, we get:

                 (x - 8)^2 = 12^2

  • Taking square root, we get:

                 x - 8 = 12

                 x = 20

Answer:

           Therefore, the dimensions of the original lawn were 20 feet by 20 feet, that is 4 th option.

Answered by 9193361
0

Answer:

D.

Step-by-step explanation:

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