the perimeter of a rectangle is three times the perimeter of a square of side 12 if the length of the rectangle is 54 ,find the area of the rectangle
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Step-by-step explanation:
given : side of square = 12cm
length of rectangle = 54cm
to find : area of rectangle
solution : perimeter of square = 4*(side)
= 4*12
= 48cm
according to question,
3*(perimeter of square) = (perimeter of rectangle)
3*48 = 2*(l+b)
144 = 2*(54+b)
144/2 = 54+b
72 = 54+b
b = 72-54
∴ b = 18
now, area of rectangle = l*b
= 54*18
= 972cm
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