jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side…

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 + 6\\sqrt{2} feet by 8 + 6\\sqrt{2} 8 - 6\\sqrt{2} feet by 8 + 6\\sqrt{2} 20 feet by 20 feet

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 + 6\\sqrt{2} feet by 8 + 6\\sqrt{2} 8 - 6\\sqrt{2} feet by 8 + 6\\sqrt{2} 20 feet by 20 feet

Answer

Explanation:

Step1: Take square - root of both sides

Take the square - root of the equation ((x - 8)^2=144). We get (x - 8=\pm\sqrt{144}), so (x - 8=\pm12).

Step2: Solve for (x) when (x - 8 = 12)

Add 8 to both sides of the equation (x - 8 = 12). Then (x=12 + 8=20).

Step3: Solve for (x) when (x - 8=-12)

Add 8 to both sides of the equation (x - 8=-12). Then (x=-12 + 8=-4). But since the side - length of a lawn cannot be negative, we discard (x=-4).

Answer:

D. 20 feet by 20 feet