Question

The ratioe of the sides of a parallelogram is2:3 the parimeter of the parallelogram is 150m find the measure of its sides​

Answer 1

Answer:

let the sides be 2x and 3x.

Perimeter of parallelogram = 150

2(2x + 3x) = 150

10x = 150

x = 15

so measure of sides are 2x15 = 30m and 3x15 = 45m.

Answer 2

Given :

• The ratio of two sides of a parallelogram is 2 : 3

• And it's perimeter is 150m.

To find :

The two sides.

Solution :

Let's assume that the two sides are 2x and 3x.

We know that,

${ \underline{ \boxed{ \sf{perimeter \:of \: a \: rectangle \: is \to 2(l + b)}}}}$

Where,

l(length) = 2x

b(breadth) = 3x

And, Perimeter = 150m.

Procedure :

Substituting the given values as follows :

$\sf \implies {perimeter \:of \: a \: rectangle \: is = 2(l + b)}$

$\sf \implies \: 150m = 2(2x + 3x)$

$\sf \implies \: 150m =2(5x)$

$\sf \implies \: 150m = \: 10x$

$\sf \implies \: \frac{15 \cancel 0}{1 \cancel 0} m =x$

$\sf \implies \: x = 15m.$

After solving this we get :

x = 15m.

Therefore,

Required answer :

Length of the parallelogram = 2x = 2 × 15

= 30m ans.

And, Breadth of the parallelogram = 3x = 3 × 15

= 45m. ans.