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Question

The length of a rectangle is 12cm and its breadth is 8 cm. If the length is increased by 3 cm, then the increase in area is equal to


A

2.18 cm2

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B

21 cm2

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C

24 cm2

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D

27 cm2

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Solution

The correct option is C

24 cm2


Let ABCD be the rectangle with AB = 12 cm and CB = 8 cm

Let length be increased by 3 cm,

BF = 3cm, AF = (12 + 3)cm

Area of original rectangle ABCD = 12×8 cm2

Area of new rectangle AFED = (12+3)×8 cm2

=12×8+3×8

Hence, increase in area is 3×8=24 cm2


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