Question

If the length & breadth of a rectangle are in the ratio 3:2 with its perimeter as 20cm , then the area of the rectangle will be:

Answer 1

2L+2B=20
2(L+B)=20
L+B=10

L/B=3/2

L*B=24

Answer 2

Answer:

• The Area of the rectangle = 24 cm².

Given :

• The length & breadth of a rectangle are in the ratio 3:2.

• Perimeter of the rectangle = 20cm

To find :

• The area of the rectangle will =?

Step-by-step explanation:

Let, the length of the rectangle be 3x.

Then, the breadth of the rectangle be 2x.

Perimeter of the rectangle = 20 cm [Given]

We know that,

Perimeter of the rectangle = 2( l + b)

Substituting the values in the above formula, we get,

20 = 2 ( 3x + 2x )

20 = 2 ( 5x)

20 = 10x

Or, 10x = 20

x = 20/10

x = 2

Hence,

The length of the rectangle, 3x ➮3 x 2 = 6 cm

Breadth of the rectangle, 2x ➮ 2 x 2 = 4 cm.

Now,

We have to find the Area of rectangle,

So, Area of the rectangle = length × breadth

Substituting the values in the above formula, we get,

= 6 x 4

= 24.

Thus, The Area of the rectangle = 24 cm².