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### Question

The difference between the length and breadth of a rectangle is 6 m. What is the area if the perimeter is 20 meters?

**A**

16 sq. meters.

**B**

18 sq. meters.

**C**

14 sq. meters.

**D**

20 sq. meters.

**Soln.**

**Ans: a**

If L and B are the length and breadth of the rectangle, then L - B = 6 and 2(L + B) = 20. Solving, we get L = 8 and B = 2, so the area is 8 × 2 = 16 sq. m. TIP: Sometimes long multiplications can be avoided by looking at the units place of the given options.