Question

Two adjacent side of a parallelogram are in the ratio 3:2 the perimeter of the parellogram is 72 cm find the length of each of its sides

Answer 1

Hi...☺

Here is your answer...✌

GIVEN THAT,

Two adjacent side of a parallelogram are in the ratio 3:2

Let the common multiple be x

Then Adjacent sides are 3x and 2x

We know that,

Opposite angles of parallelogram are equal

Therefore,

Other two sides are 3x and 2x

Now,

Also given that

Perimeter = 72 cm

Sum of all sides = 72 cm

3x + 2x + 3x + 2x = 72

10x = 72

x = 72/10

x = 7.2 cm

=> 3x = 3×7.2 = 21.6 cm
=> 2x = 2×7.2 = 14.4 cm

HENCE,

Length of sides of given parallelogram are

21.6 cm , 14.4 cm , 21.6 cm , 14 .4 cm

Answer 2

Heya ✋

Let see your answer !!!

Let the adjacent sides be 3x and 2x. Then,

Perimeter of a parallelogram = 2(sum of adjacent sides)

=> 72 = 2(3x + 2x)

=> 72/2 = 5x

=> 36 = 5x

=> x = 36/5

=> x = 7.2

Hence , 1st side = 3 × 7.2 = 21.6m

2nd side = 2 × 7.2 = 14.4m

Hence , the adjacent sides of the parallelogram are 21.6m ; 14.4m ; 21.6m and 14.4m.





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