Question

Length and breadth of a rectangular wire are 9 cm and 7 cm respectively

If the wire us bent into a square find
the length of its side​

Answer 1

Given :–

• Length of a rectangular wire = 9 cm.
• Breadth of a rectangular wire = 7 cm.
• The wire is bent into a square.

To Find :–

• Find the length of its side.

Solution :–

First we need to find the perimeter of a rectangular wire.

Perimeter of a rectangular wire = 2(l + b)

We have,

• l = 9 cm.
• b = 7 cm.

$\implies2(9cm + 7cm)$

$\implies2(16 \: cm)$

$\implies32 \: cm$

Hence, the perimeter of a rectangular wire is 32 cm.

Now, we have to find the side of a square.

We know that,

Perimeter of a rectangle = Perimeter of a square.

Perimeter of a sqaure = 4 × side

$\implies32 \: cm = 4 \times side$

$\implies \cancel \dfrac{32}{4} \: cm = side$

$\implies8 \: cm = side$

It means,

$\implies side = 8 \: cm$

Hence,

The length of side of the square is 8 cm.