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Question

The length of a rectangle is 12 cm and its breadth is 6 cm. If the length is increased by  4 cm, the increase in area is equal to


  1. 26 cm2

  2. 22 cm2

  3. 18 cm2

  4. 24 cm2


Solution

The correct option is D

24 cm2


Let ABCD be the rectangle with AB = 12 cm and CB = 6 cm

Let length be increased by 4 cm,

BF = 4cm, AF = (12 + 4)cm

Area of original rectangle ABCD = 12×6 cm2

Area of new rectangle AFED = (12+4)×6 cm2

=12×6+4×6

Hence, increase in area is 4×6=24 cm2

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