Question

2. The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the lengths of all the sides of the parallelogram.​

Answer 1

GIVEN :

Perimeter of a parallelogram= 150cm

One of the sides is greater than the other by 25cm

let the smaller side = x

Greater side be 'y'

y = x + 25 -----(1)

Perimeter of parallelogram= 2( Greater side + Smaller side)

150 = 2( x + y )

x + y = 150/2

x + y = 75 -----(2)

Substitute eq - (1) in eq - 2

x + y = 75

x + ( x + 25 ) = 75

2x + 25 = 75

2x = 75 - 25

2x = 50

x = 50/2

x = 25

Smaller Side = x = 25cm

Greater side = x + 25 = 25 + 25 = 50cm

We know that the opposite sides in a parallelogram are equal.

Therefore, the four sides of parallelogram are 50cm, 50cm, 25cm and 25cm.

Answer 2

Answer:

Length of smaller sides is 25cm

Length of greater sides is 50cm

Step-by-step explanation:

let , the smaller side of the parallelogram (b)= "x" cm

As, the other one is 25cm greater than the smaller one.

Therefore, greater side (h) = (x+25)cm

Perimeter of parallelogram = 150cm

As we know,

Perimeter of parallelogram = 2(b+h)

So,

2(b+h) = 150

2(x+x+25)= 150

2x+25 = $\dfrac{150}{2}$

2x+25 = 75

2x = 75-25

2x = 50

x = $\dfrac{50}{2}$

x = 25

Therefore,

smaller side(b) = 25 cm

Greater side (h)= x+25

h = 25+25

h = 50cm

In parallelogram, oppo. sides are equal!

Hence,

Length of smaller sides = 25cm

Length of greater sides = 50cm

Therefore,

Lengths of the sides of parallelogram are 25cm, 50cm, 25cm and 50cm