Question

A thin wire 40 CM long is formed into a rectangle if the width of this rectangle is 8 CM what is length and area

Answer 1

Given:

Length of a wire = 40 cm.

Breadth of the rectangle formed = 8 cm.

Find:

length and area of rectangle.

Solution:

Length of a wire = 40 cm.

A rectangle is made from this wire.

That means,

Perimeter of the rectangle formed = length of the wire.

Also,

Breadth of the rectangle formed = 8 cm.

We know that,

Perimeter of a rectangle = 2(length + breadth).

Let the length of the rectangle be x cm.

Hence,

→ 2(x + 8) = 40

→ 2x + 16 = 40

→ 2x = 40 - 16

→ 2x = 24

→ x = 24/2

→ x = 12

Hence,

Length of the rectangle formed = x = 12 cm.

Now,

We know,

Area of a rectangle =length * breadth

→ Area of the rectangle = (12) * (8)

→ Area of the rectangle = 96 cm²

Therefore, the area of the rectangle formed is 96 cm².

I hope it will help you.

Regards.