The length of a rectangle is twice its breadth If its length is decreased by 5 cm and breadth is inc...........

Quantitative Aptitude ( CCS) Mensuration 2D

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. find the length of the rectangle.

5 cm

10 cm

20 cm

40 cm

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Explanation:

Let breadth = x. then, length = 2x. then,
(2x - 5) (x +5) – 2x × x = 75
⇒ 5x – 25 = 75 ⇔ x = 20
So, length of the rectangle = 2x
Therefore, 2 × 20 cm ⇒ 40 cm.