Answer:
length = 90 m; width = 55 m
Explanation:
Let the length = L.
Let the width = W.
The length is 35 m longer than the width.
L = W + 35
The perimeter is 290 m.
perimeter = 2(L + W)
2(L + W) = 290
L = W + 35
2(L + W) = 290
Divide both sides of the second equation by 2.
L = W + 35
L + W = 145
Substitute W + 35 for L in the second equation.
L = W + 35
W + 35 + W = 145
L = W + 35
2W + 35 = 145
L = W + 35
2W = 110
L = W + 35
W = 55
L = 55 + 35
W = 55
L = 90
W = 55
Answer: length = 90 m; width = 55 m