Question

The area of a square and a rectangle are equal. If the side of a square is 20cm and breath of the rectangle is 12.5cm find the length of the rectangle​

Answer 1

Solution!!

The area of a square = The area of a rectangle

The side of the square is given. Let's find the area of the square.

Side = 20 cm

Area = (Side)²

Area = (20 cm)²

Area of square = 400 cm²

We have the area of the square which is equal to the area of the rectangle. So,

Area of rectangle = 400 cm²

The breadth of the rectangle is given and we also know the area of the rectangle. We can easily find out the length of the rectangle.

Breadth = 12.5 cm

Area = Length × Breadth

400 cm² = Length × 12.5 cm

Length = 400 cm² ÷ 12.5 cm

Length = 32 cm

Hence, the length of the rectangle is 32 cm.