Question

The sides of a rectangle are in the ratio 2 ratio 3 if the perimeter is 50 cm find its side

Answer 1

The perimeter of rectangle = 50cm

Ratio of the sides of rectangle = 2:3 = 2x : 3x

Perimeter of rectangle = 2(l+b) = 50cm

2(2x+3x) = 50cm

2(5x) = 50cm

5x = 50/2 = 25

5x = 25

x = 25/5

x = 5

Sides of rectangle are 2x (length)
= 2 * 5 = 10 cm

3x (breadth)
= 3 * 5 = 15 cm

Answer 2

Answer:

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

$Length =2x (2 \times 5) = 10\:cm\\Breadth= 3x = (3\times 5) = 15\:cm$

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 2 : 3

Perimeter of rectangle = 50 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 2x and 3x 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,

$Perimeter = 2 (3x+2x)\\=>50= 2 \times 5x\\=>10x = 50\\=>x = \frac{50}{10} = 5$

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

$Length =2x (2 \times 5) = 10\:cm\\Breadth= 3x = (3\times 5) = 15\:cm$