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?

170 m

Step-by-step 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.