Question

a rectangular field has an area of 1,764m^2. the width of the field is 13m more then the length. what is the perimeter of the field?

Answer 1

170 m

Explanation:

Area of a rectangle is width times length:

A = WL

Given:

A = 1764

W = L + 13

Substitute:

1764 = (L + 13) L

1764 = L² + 13L

0 = L² + 13L − 1764

0 = (L + 49) (L − 36)

L + 49 = 0, L − 36 = 0

L = -49, L = 36

Since length can't be negative, L = 36 m.

So the width is W = L + 13 = 49 m.

Perimeter of a rectangle is twice the width plus twice the length.

P = 2W + 2L

P = 2(49) + 2(36)

P = 170 m

The perimeter is 170 meters.