Discussion of Question with ID = 028 under Areas

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Question

The length and breadth of a rectangle are respectively increased by 13% and 10%. What is the % increase in the area?

A

$24{3/10}$%.

B

$28{1/9}$%.

C

$19{5/12}$%.

D

$22{3/4}$%.

Soln.
Ans: a

If x% and y% is the increase in the dimensions, then the area of a rectangle increases by $(x + y + {xy}/100)$% = $(13 + 10 + {13 × 10}/100)$% = ${243/10}$, which is same as: $24{3/10}$%


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