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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: $24{3/10}$%