Question

A field is a rectangle with a perimeter of

1140
feet. The length is
400
feet more than the width. Find the width and length of the rectangular field.

Answer 1

• length: 485 ft
• width: 85 ft

Explanation:

Let the length be represented by L. Then the width is L-400, and the perimeter is ...

P = 2(L +W)

1140 = 2(L +(L-400))

570 = 2L -400 . . . . . . . divide by 2

970 = 2L . . . . . . . . . . . . add 400

485 = L . . . . . . . . . . . . . divide by 2

L-400 = 485-400 = 85 . . . . . find the width

The length is 485 ft; the width is 85 ft.