Question

The perimeter of a square whose area is equal to area of rectangle of length 13.6 m and breadth is 85 cm

Answer 1

Solution!!

There are two shapes - a square and a rectangle. The area of the square equals the area of the rectangle. The length and breadth of the rectangle are given in the question. We are asked to find the perimeter of the square.

First of all, we will use a suitable formula to find the area of the rectangle which equals the area of the square and then we will find the side of the square using a suitable formula. After we know the side, we can easily find out the perimeter.

Length = 13.6 m

Breadth = 85 cm

The units are different. So, let's convert centimetre into metres.

1 cm = 0.01 m

85 cm = 0.85 m

Length = 13.6 m

Breadth = 0.85 m

Area = Length × Breadth

Area = 13.6 m × 0.85 m

Area = 11.56 m²

Area of square = Area of rectangle

Area of square = 11.56 m²

Area = (Side)²

11.56 m² = (Side)²

Side = √(11.56 m²)

Side = 3.4 m

Perimeter = 4 × Side

Perimeter = 4 × 3.4 m

Perimeter = 13.6

Formulae used:-

Area of rectangle = Length × Breadth

Area of square = (Side)²

Perimeter of square = 4 × Side