The length of a rectangle is twice its breadth, if length is decreased by 5 cm

Question

The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is:

Options:

A . 20 cm

B . 30 cm

C . 40 cm

D . 50 cm

Answer: Option C

Breadth = x cm
Length = (2x) cm
(2x - 5) (x + 5) “ x Ã— 2x = 75
2x² + 5x “ 25 “ 2x² = 75
5x = 100 or x = 20
Length = (2x) cm = 40 cm

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