Answer: 20 feet.
Step-by-step explanation:
Given: Jillian is trying to save water so she reduces the size of her square grass lawn by 8 ft on each side the area of the smaller lawn is 144 square feet.
The equation according to the given information will be :-
[tex](x-8)^2=144 x[/tex], x represents the side measure of the original lawn.
To find x , first we take square root on the both sides , we get
[tex](x-8)=\sqrt{144}\\\\\Rightarrow\ (x-8)=\pm12[/tex]
Now, add 8 on the both sides ,we get
[tex]x=20,\ or\ x=-4[/tex]
But dimensions cannot be negative .
Therefore , the dimensions of the original lawn = 20 feet.
