Question

The ratio of the two adjacent sides of a parallelogram is 5 : 8. Find all the sides of the prallelogram if its perimeter is 52 cm.​

Answer 1

Answer:

A (first side) = 10cm

B (second side) = 16cm

Step-by-step explanation:

The ratio of two adjacent sides of parallelogram= 5:8

Perimeter = 52cm (given)

We know that, the perimeter of a parallelogram = 2(a + b)

the above-given data, can be put into this formula like this,

$\sf \implies 2(a \times b) = 52 cm$

Let a be = 5x, and b = 8x.

$\sf \implies 2(5x \times 8x) = 52 cm$

$\sf \implies 10x + 16x= 52 cm$

$\sf \implies 26x = 52 cm$

$\sf \implies x = \dfrac{52}{26}$

$\sf \implies x = \dfrac{26}{13}$

$\bf \implies x = 2$

Now, a = 5x = 5 × 2 = 10cm

b = 16cm

Answer 2

Given :-

The ratio of the two adjacent sides of a parallelogram is 5 : 8. Find all the sides of the parallelogram if its perimeter is 52 cm.

​Solution :-

Let the sides be 5x and 8x

Now,

Perimeter =2(l + b)

52 = 2(5x + 8x)

52 = 2(13x)

52 = 26x

x = 2

Sides are

5(2) = 10 cm

5(2) = 10 cm

8(2) = 16 cm

8(2) = 16 cm