Question

Two sides of a parallelogram are in the ratio 5:4 . If the its perimeter is 54 CM. The length of the larger side is

Answer 1

Answer:

Let the given sides be 5a and 4a.

In a parallelogram, opposite sides are equal, so the two adjacent sides will be 5a and 4a.

Other two sides will be of the same lengths.

→ perimeter = 54

→ 4a + 4a + 5a + 5a = 54

→ 18a = 54

→ a = 54/18

→ a = 3

Hence length of the larger side is 5a = 5(3cm) = 15 cm

Answer 2

To find :

1. perimeter is 54cm.

2. sides are in the ratio 5:4.

Solution :

l : b = 5:4

l = 5x

b = 4x

perimeter = 2(l +b)

54 = 2( 5x + 4x )

2( 5x + 4x ) = 54

5x + 4x = 54/2

5x + 4x = 27

9x = 27

x = 27/9

= 3

larger side = 5x

= 5 × 3

= 15 cm