Question

the area of square and rectangle are equal. if the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also find the perimeter of the rectangle

Answer 1

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Answer 2

Given: The area of square and rectangle are equal. The side of the square is 40 cm and the breadth of the rectangle is 25 cm.

To find: Length of the rectangle and perimeter of the rectangle

Solution: Side of square = 40 cm

Area of square

= Side × Side

= 40 × 40

= 1600 cm square

Breadth of the rectangle= 25 cm

Area of rectangle

= Length × Breadth

= Length × 25

Since the area of square and rectangle are equal, therefore

Length × 25 = 1600

=> Length = 1600/25

=> Length = 64 cm

Perimeter of the rectangle is given by

= 2 × ( Length + Breadth)

= 2 × (64+25)

= 2×89

= 178 cm

Therefore, the length of the rectangle is 64 cm and the perimeter of the rectangle is 178 cm.