To answer this question, you must write an equation that reflects what is being asked:
You know:
- area = length × width
- A = 13520 ft²
- L = 5w
- w = w
Plug in the information you've identified into the area equation:
13520 = 5w × w
Now simplify by combining like terms:
5w × w = 5w²
13520 = 5w²
Divide 5 from both sides:
2704 = w²
Take the square root of both sides to isolate w:
√2704 = √w²
52 = w
Now you have the width! Find the length by plugging in 52 into L = 5w:
L = 5w
L = 5 (52)
L = 260
The dimensions of the yard are 260ft by 52ft
L= 260 ft
W = 52 ft