Answer:
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.
