Question

Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle.

Answer 1

We have given,

Perimeter of the square = Perimeter of the rectangle

4 × side = 2(length + breadth)

⇒ 4 × 15 cm = 2(18 cm + breadth)

⇒ (4 x 15)/2 cm = 18 cm + breadth

⇒ 30 cm = 18 cm + breadth

⇒ (30 – 18) cm = breadth

⇒ breadth = 12 cm

Now, area of the rectangle length × breadth = (18 × 12) cm² = 216 cm²

The original length of the wire

= Number of pieces × length of one piece

= 7 × 8 cm = 56 cm