Answer:
The longer side of the rectangle is 25 yards.
Step-by-step explanation:
The area of a rectangle, A = 100 square yards
The perimeter of a rectangle, P = 58 yards
We formula for area and perimeter of a rectangle is given by :
A = lb
and
P = 2(l+b)
ATQ,
lb = 100 ...(1)
2(l+b) = 58
(l+b) = 29 ....(2)
We need to solve equation (1) and (2).
l = 4, b = 25
So, the longer side of the rectangle is 25 yards.