Question

The sides of a parallelogram are in the ratio 3:5.If the perimeter of the parallelogram is 480cm. Find the lsnght of the sides of the parallelogram

Answer 1

ratio of sides=3:5
let the sides be 3x and 5x
opposite side of parallelogram is always equal
perimeter = sum of all sides

480cm= 5x+3x+5x+3x
480cm=16x
480cm/16=x
30cm=x

therefore,
5x=5*30=150cm
3x=3*30=90cm

Answer 2

GIVEN:

• The sides of a parallelogram are in the ratio 3:5
• The perimeter of the parallelogram is 480cm.

TO FIND:

• What is the length of the sides of a parallelogram ?

SOLUTION:

Let the one side of parallelogram be 3x and another side be 5x

We know that the formula for finding the perimeter of a parallelogram is :-

✫ Perimeter of parallelogram = 2(Sum of length of adjacent sides) ✫

According to question:-

$\implies$ 480 = 2(3x + 5x)

$\implies$ 480 = 2(8x)

$\implies$ 480 = 16x

$\implies$ 480/16 = x

$\implies$ 30 = x

➠ The value of x is 30

● One side of parallelogram = 3x = 3(30) = 90 cm

● Another side of parallelogram = 5x = 5(30) = 150 cm

❛ Since, opposite sides are equal therefore, the measure of two sides of parallelogram is 90 cm and another two sides is 150 cm. ❜ 

VERIFICATION:

➫ 2(90 + 150) = 480

➫ 2(240) = 480

➫ 480 = 480

[L.H.S = R.H.S.]

VERIFIED..

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✰ Extra Information ✰

➲ Opposite angles of parallelogram are equal.

➲ Opposite sides of parallelogram are equal and parallel.

➲ Diagonals of a parallelogram bisect each other.