Question

If the length and breadth of bedsheet are in the ratio of 7 : 11, then what is the area covered by the bedsheet if its perimeter is 72 m?
1. 300 m²
2. 350 m²
3. 308 m²
4. 216 m²

Answer 1

Correct Answer - Option 3 : 308 m²

Given:

The Ratio of length and breadth of the bedsheet is 7 ∶ 11

The perimeter of the bedsheet is 72 m

Formula Used:

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2 × (Length + Breadth)

Calculation:

Let the length and breadth of the bedsheet be 7a and 11a.

Perimeter = 72 m

⇒ 2 × (7a + 11a) = 72

⇒ 18a = 36

⇒ a = 2 

So, length of bedsheet = 7a = 14 m and breadth = 11a = 22 m

Now, area covered by bedsheet = Length × Breadth = 14 × 22 = 308 m²

∴ The area of a given bedsheet is 308 m²