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### Question

The length and breadth of a rectangle are in the ratio 13 : 7. What is the area if the perimeter is 200 meters?

**A**

2275 sq. meters.

**B**

2277 sq. meters.

**C**

2273 sq. meters.

**D**

2279 sq. meters.

**Soln.**

**Ans: a**

Let L = 13x and B = 7x. We are given 2 × (13x + 7x) = 200, which gives x = 5. So area = L × B = (13 × 5) × (7 × 5) = 2275 sq. meters.