Question

The length of the side of the square 50 cm and the breadth of the rectangle is 25 cm .if the area of the square and the rectangle are equal.find the length of the rectangle

Answer 1

Length of the side of the square = 50 cm

Area = s² = 2500 cm²

Breadth of the rectangle = 25 cm

Let its length be x

Area = l*b

        = l*25

Given, area of square and rectangle are equal

∴ l*25 = 2500

⇒ l = 2500/25

∴ Length of the rectangle = 100 cm

Answer 2

Area of square = side^2

= (50)^2 cm^2

= 2500 cm^2

Let's assume the length as x cm

According to Question,

Area of square = Area of rectangle

side^2 = length × breadth

2500 = x × 25

=> 2500 / 25 = x

=> 100 = x

Hence, the length of the given rectangle is 100 cm