Question

A square with side 60 cm and a rectangle with breadth 40 cm are equal in area. Find the length of the rectangle.
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Answer 1

Area of Square is greater than Area of Rectangle by 400 cm²

We Have :-

A Square of side 60 cm and a Rectangle of length 80 cm have the same perimeter

To Find :-

Which encloses more Area

Formula Used :-

Perimeter of Square = 4 * side

Area of Square = side * side

Perimeter of Rectangle = 2 ( Length + Breadth )

Area of Rectangle = Length * Breadth

Solution :-

According to Question

Perimeter of Square = Perimeter of Rectangle

4 * ( 60 ) = 2 ( 80 + b )

240 = 160 + 2b

2b = 80

b = 40 cm

Area of Rectangle = Length * Breadth

                              = 80 * 40

                             = 3200 cm²

Area of Square =  side * side

                         = 60 * 60

                        = 3600 cm²

Area of Square is greater than Area of Rectangle by 400 cm²