Question

The adjacent sides of a rectangle are in the ratio 3:2. The perimeter of rectangle is 60cm. Find the length and breadth.

Answer 1

Answer:

let length of rectangle = 3x

let breadth of rectangle = 2x

perimeter of rectangle = 60cm

Perimeter of rectangle = 2( length + Breadth )

60= 2(3x+ 2x)

60=2( 5x)

60= 10x

60/10= X

6= X

therefore, length=3(6)= 18cm

breadth= 2(6) = 12cm

hope it helps..

Answer 2

Answer:

Hence, value of length and breadth of the rectangle will be

$Length = 3x = (3\times 6) = 18\:cm\\Breadth = 2x (2 \times 6) = 12\:cm$

Step-by-step explanation:

In context to the question asked,

We have to determine the value of length and breadth of the rectangle.

As per data given in the question,

It is given that,

Side of rectangle are in ratio of 3 : 2

Perimeter of rectangle = 60 cm

As we know that,

Perimeter of rectangle can be determined by using the formula $Perimeter = 2 (l +b)$

So, let the length and breadth of rectangle are 3x and 2x respectively.

So, in order to determine the value of length and breadth we will put the assumed value of length and breadth of rectangle in above formula.

Thus we will get,

$Perimeter = 2 (3x+2x)\\=>60= 2 \times 5x\\=>10x = 60\\=>x = \frac{60}{10} = 6$

So, value of length and breadth of the rectangle will be

$Length = 3x = (3\times 6) = 18\:cm\\Breadth = 2x (2 \times 6) = 12\:cm$