A rectangular field length is 3 times more than its width and area is 192 square meters. Determine the area of a square with a perimeter equal to the area equal to the area of the rectangular field.
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Remember that the area of a rectangle is A = L * W, where l is the length and W is the width, and A is the area.
So A = 192 square yards; L is 3W
This means 3W * W = 192
3W^2 = 192
Divide both sides by 3:
w^2 = 64
Find the square root of both sides:
W = 8
So it’s 8 square yards wide. If the length is three times as wide, that means:
L = 3*8
L = 24
area of square = perimeter of rectangular field =2(l+W)
= 32×2 = 64
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