Question

The area of a rectangle is thrice the area of a square. One side of the square is 4 cm, which is equal to the breadth of the rectangle. Find the length of the rectangle.
1. 10
2. 14
3. 12
4. 20
5. None of these

Answer 1

Correct Answer - Option 3 : 12

Given:

One side of the square is 4 cm = Breadth of the rectangle

The area of the rectangle is thrice the area of the square

Formula used:

Area of a square = side²

Area of a rectangle = (Length × Breadth)

Calculation:

So, the area of the square = 4² cm² = 16 cm²

According to the question, the area of the rectangle = (16 × 3) cm² = 48 cm²

As per the question, the breadth of the rectangle is 4 cm

So, the length = (48/4) cm = 12 cm

∴ The length of the rectangle is 12 cm.