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.
You can use a system of equations to solve this problem. Let one equation be the sum of the sides and the other equation be the difference of the equations. Using elimination method you get 4 & 14.
4+14=18
14-4=10
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