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### Question

The length and breadth of a rectangle are respectively increased by 9% and 1%. What is the % increase in the area?

**A**

$10{9/100}$%.

**B**

$11{20/99}$%.

**C**

$8{31/34}$%.

**D**

$12{5/6}$%.

**Soln.**

**Ans: a**

If x% and y% is the increase in the dimensions, then the area of a rectangle increases by $(x + y + {xy}/100)$% = $(9 + 1 + {9 × 1}/100)$% = ${1009/100}$, which is same as: $10{9/100}$%