Question

The primeter of a parallelogram is 40 cm. If the ratio of of two of it's sides is 3:2, find the length of it's sides.​

Answer 1

✬ Sides = 12 , 12 , 8 , 8 cm ✬

Step-by-step explanation:

Given:

• Perimeter of parallelogram is 40 cm.
• Ratio of its sides is 3 : 2.

To Find:

• What is the length of its sides ?

Solution: Let x be the common in given ratios. Therefore,

➟ 1st side = 3x cm

➟ 2nd side = 2x cm

As we know that the opposite sides of a parallelogram are parallel and equal to each other. So

➟ 1st side = 3rd side = 3x cm

➟ 2nd side = 4th side = 2x cm

★Perimeter of ||gm = Sum of all sides★

A/q

• Perimeter is 40 cm

$\implies{\rm }$ 3x + 2x + 3x + 2x = 40

$\implies{\rm }$ 10x = 40

$\implies{\rm }$ x = 40/10

$\implies{\rm }$ x = 4

So length of sides are

• First side = third side = 3x = 3(4) = 12 cm

• Second side = fourth side = 2x = 2(4) = 8 cm

[ Verification ]

➮ Sum of all sides = Perimeter

➮ 12 + 8 + 12 + 8 = 40

➮ 40 = 40

$\large\bold{\texttt {Verified }}$