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

Answer:

• length: 485 ft
• width: 85 ft

Step-by-step 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.