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### Question

The length and breadth of a rectangle are in the ratio 13 : 6. What is the area if the perimeter is 266 meters?

**A**

3822 sq. meters.

**B**

3824 sq. meters.

**C**

3820 sq. meters.

**D**

3826 sq. meters.

**Soln.**

**Ans: a**

Let L = 13x and B = 6x. We are given 2 × (13x + 6x) = 266, which gives x = 7. So area = L × B = (13 × 7) × (6 × 7) = 3822 sq. meters.