The sides of a rectangle are in the ratio 4 : 5. Find its sides if the perimeter is 90 cm.

ABCD is a rectangle


Let the side is x


Length of rectangle = 5x


Breadth of the rectangle = 4x


Given perimeter of rectangle = 90 cm


Perimeter of the rectangle = 2(length + breadth)



90 = 2(5x + 4x)


18x = 90


x = 5


Therefore Length of the rectangle = 5×5 = 25cm


Therefore breadth of the rectangle = 4×5 = 20cm


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