Question

The perimeter of the square is 56 cm. If the length of the rectangle is double the side of the square and the breadth of the rectangle is the same as the side of the square, then what is the area of the rectangle?
1. 372 cm²
2. 412 cm²
3. 464 cm²
4. 392 cm²

Answer 1

Correct Answer - Option 4 : 392 cm²

Given:

Perimeter of square = 56 cm

Formula used:

Perimeter of square = 4 × side

Area of rectangle = Length × Breadth

Calculation:

As, Perimeter of square = 56 cm

⇒ 4 × side = 56 cm

⇒ Side of square = 56/4 = 14 cm

Now, Length of rectangle = 2 × 14 = 28 cm

And, breadth of rectangle = 14 cm

⇒ Area of rectangle = 28 × 14 = 392 cm²

∴ The area of the rectangle is 392 cm²