Question

In a rectangle, the length is 3.5 times its width. Its perimeter is 90 cm. Then the area of the rectangle is
1. 350 cm2
2. 35 cm²
3. 250 cm²
4. 45 cm²

Answer 1

Correct Answer - Option 1 : 350 cm2

Concept:

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2 × (Length + Breadth)

Calculation:

Given:

The length and breadth of a rectangle are in the ratio of 3.5 : 1, The perimeter of the rectangle is 90 cm.

Let the length of the rectangle be 3.5x breadth of the recatangle is x

The perimeter of the rectangle is 2 × (L +  B)

Perimeter = 2(3.5x + x)

Perimeter = 9x

∴ 9x = 90

∴ x = 10.

Length = 35 cm and Breadth = 10 cm

Area of rectangle = Length × Breadth

Area = 35 × 10

∴ Area = 350 cm2.