Question

two adjacent sides ab and BC of parallelogram ABCD are in the ratio of 5 3 if the perimeter is 200 find the length of Ab and BC​

Answer 1

The ratio of Adjacent sides of a parallelogram is 5:3

Now,

Let the Sides be 5x and 3x

We know that,

opposite sides of the parallelogram are equal to each other.

This means that :-

AB = CD

BC=AD

$\rule{200}{2}$

Given that :-

Perimeter of the parallelogram = 200 cm

As per question we know :-

$5x + 3x + 5x + 3x = 200 \\ \\ \\16x = 200 \\ \\ \\x = \frac{200}{16}$

Hence,

x = 12.5

Thus

AB = 5x = 5*12.5 = 62.5

BC = 3x = 3*12.5 = 37.5

$\rule{200}{2}$

Answer 2

PERIMETER OF PARALLELOGRAM = 2(sum of adjacent sides)

GIVEN :-

In parallelogram ABCD the ratio of adjacent sides are in ratio of 5:3.

SOLUTION :-

Let the adjacent sides be 3x and 5x

According to the question,

2(3x + 5x) = 200

=> 2 × 8x = 200

=> 16x = 200

=> x =12.5

Hence the sides will be :-

3x = 3 × 12.5 = 37.5 cm (AB)

5x = 5 × 12.5 = 62.5cm (BC)

Hence answers are 37.5cm and 62.5cm