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: Resolver la ecuación $(x - 8)^2=144$.

Tomar la raíz cuadrada de ambos lados: $x - 8=\pm\sqrt{144}=\pm12$.

Step2: Resolver para $x$ en los casos positivos y negativos.

Caso positivo: $x-8 = 12$, entonces $x=12 + 8=20$. Caso negativo: $x-8=-12$, entonces $x=-12 + 8=-4$. Pero las dimensiones no pueden ser negativas, así que descartamos $x=-4$.

Answer:

D. 20 feet by 20 feet