A rectangleis 20cm long and 10cm wide .A square with the same perimete

1.	A rectangleis 20cm long and 10cm wide .A square with the same perimeter as this rectangle will have an area of
Answer» >Area of a square = 225 cm² Given :– Length of a RECTANGLE = 20 CM long. Breadth of a rectangle = 10 cm wide. A square with the same perimeter as this rectangle. To Find :– Area of a square. Solution :– We know that, Perimeter of a rectangle = 2(length + breadth) / 2(l + b) We have, Length = l = 20cm. Breadth = b = 10cm. $\longmapsto2(20 cm+ 10cm)$ $\longmapsto2(30 \: cm)$ $\longmapsto60 \: cm$ According to the CONDITION, Perimeter of a rectangle = Perimeter of a square Perimeter of a rectangle = 60cm. That means, Perimeter of a square = 60cm. So, We know that, Perimeter of a square = 4 × side $\longmapsto 60 \: cm = 4 \times side$ $\longmapsto \cancel\dfrac{60}{4} \: cm = side$ $\longmapsto15 \: cm = side$ Side of a square is 15 cm. Now, we have to find the area of a square. Area of a square = (side)² side = 15 cm. $\longmapsto { (15 \: cm) }^{2}$ $\longmapsto15 \: cm\times15 \: cm$ $\longmapsto225 \: {cm}^{2}$ Hence, The area of a square is 225 cm².

A rectangleis 20cm long and 10cm wide .A square with the same perimeter as this rectangle will have an area of

Answer»

>Area of a square = 225 cm²

Given :–

Length of a RECTANGLE = 20 CM long.
Breadth of a rectangle = 10 cm wide.
A square with the same perimeter as this rectangle.

To Find :–

Area of a square.

Solution :–

We know that,

Perimeter of a rectangle = 2(length + breadth) / 2(l + b)

We have,

Length = l = 20cm.
Breadth = b = 10cm.

$\longmapsto2(20 cm+ 10cm)$

$\longmapsto2(30 \: cm)$

$\longmapsto60 \: cm$

According to the CONDITION,

Perimeter of a rectangle = Perimeter of a square

Perimeter of a rectangle = 60cm.

That means,

Perimeter of a square = 60cm.

So,

We know that,

Perimeter of a square = 4 × side

$\longmapsto 60 \: cm = 4 \times side$

$\longmapsto \cancel\dfrac{60}{4} \: cm = side$

$\longmapsto15 \: cm = side$

Side of a square is 15 cm.

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

Area of a square = (side)²

side = 15 cm.

$\longmapsto { (15 \: cm) }^{2}$

$\longmapsto15 \: cm\times15 \: cm$

$\longmapsto225 \: {cm}^{2}$

Hence,

The area of a square is 225 cm².