Question

Farmer Joe has his horses in a rectangular pen. The length of the pen is 10 feet longer than three times its width. The total fence that surrounds the garden is 820 feet. What is the width of the garden? PLS SHOW UR WORK!!

Answer 1

The width of the garden is 100 feet.

Explanation:

The formula for the perimeter of a rectangle is 2(L+W) where L = length and W = width.

Since we know the perimeter (the fence that surrounds the garden) is 820 feet and the length of the pen is 10 feet longer than 3 times its width, we can set an equation and solve for the width:

L = 10 + 3W

So substitute 10 + 3W for L in the equation:

2[(10 + 3W) + W) = 820

2(10 + 4W) = 820

10 + 4W = 410

4W = 400

W = 100

Therefore, the width of the garden is 100 feet.