Question

Steve is mowing a rectangular patch of grass. He knows the length is four times the width. If he knows the perimeter of the patch of grass is 1000ft. What is the length and the width

Answer 1

step 1

The perimeter of a rectangle is equal to

P=2(L+W)

where

L is the length and W is the width

In this problem we know that

L=4W

and P=1000 ft

so

substitute in the formula of perimeter

1000=2(4W+W)

solve the equation for W

1000=2(5W)

1000=10W

W=100 ft

Find the value of L

Remember that L=4W

substitute the value of W

L=4(100)

L=400 ft

The answer is

length L=400 ft

width W=100 ft