Question

The ratio of 2 sides of a parallelogram is 3:5 and its pereter is 48 meter find. The sides of a parallelogram

Answer 1

Answer:

We know that opposite sides of a parallelogram are equal. Given that the ratio of unequal sides is 3 : 5. So, Let the sides of the parallelogram be 3x and 5x respectively. Therefore the sides of the parallelogram are 9 and 15 m respectively

Answer 2

$\HUGE{ QUESTION :-$

The ratio of 2 sides of a parallelogram is 3:5 and its perimeter is 48 meter. Find The sides of the parallelogram

$\HUGE{ GIVEN \:THAT :-}$

The ratio of 2 sides of the parallelogram is = 3 : 5

Perimeter of parallelogram = 48 meter

$\HUGE{TO \:FIND :-}$

• The sides of a parallelogram ?

$\HUGE{WE \:KNOW :-}$

Opposite sides of a parallelogram are equal.

$\HUGE{SOLUTION :-}$

The ratio of 2 sides of a parallelogram is 3 : 5 and its perimeter is 48 meter. Find The sides of the parallelogram

we need to find sides of given parallelogram

So,

From the data given we can say that :

$\bold{ Ratio\:of\:unequal\:sides = 3 : 5}$

Let us consider the sides of parallelogram be 3x and 5x

Perimeter of the parallelogram =  $\bold{ 2\:*\:(Base \:+\:Side)}$

Perimeter of the parallelogram = 48 meter

$\bold{ 48\:meter\:= \bold{ 2\:*\:(Base \:+\:Side)}}$

→ $\bold{ 48\:meter\:= \bold{ 2\:*\:(3x \:+\:5x)}}$

Divide both L.H.S and R.H.S with 2

$\bold{\frac {48}{2}\:meter\:= \bold{ \frac{2\:*\:(3x \:+\:5x)}{2}}}$

→ $\bold{ 24\:meter\:= \bold{ (3x \:+\:5x)}}$

→ $\bold{ 24\:meter\:= \bold{ 8x}}$

Let's solve for $\bold{x}$

$\bold{x}$ = $\bold{ \frac{24}{8}meter}}$

$\bold{x}$ = $\bold{ 3\:meter}}$

Then,

3$\bold{x}$ = 3 × 3 meter = 9 meter

5$\bold{x}$ = 5 × 3 meter = 15 meter

Therefore the sides of the parallelogram are:

9 and 15 m respectively.