If the perimeters of a rectangle and a square are equal, and it is known that the length is twice the breadth in the rectangle, find the ratio of the length of the rectangle and side of the square is
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Step-by-step explanation:Perimeter of a rectangle= 2(Length + Breadth)
Length= 10cm, Breadth = 6cm
perimeter = 2(10+6) = 2(16) = 32 cm
Perimeter of square = perimeter of a rectangle
Perimeter of a square = 4x side
4 x side = 32
Side = 32/4 ( dividing both sides by 4)
Side of a square = 8 cm
Area of a square = Side x Side
= 8 x 8 = 64 cm^2
Area of a square = 64 cm^2
Ans : 64 cm^2
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