Question

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

Answer 1

Answer:

Step-by-step explanation:

perimeter of parallelogram=2(a+b)

let one side=x cm.

so other side=(x+25)cm.

perimeter=150cm.

150=2{X+(X+25)}

150=2(2X+25)

150=4X+50

150-50=4X

or 4X=100

X=25

so sides are:

25 and 50 cms.

Answer 2

Solution :-

First of all we need to know that what is parallelogram ?

» Parallelogram is a quadrilateral in which opposite sides are parallel to each other .

Let us see some Properties of Parallelogram :-

▪️ Opposite sides are congruent to each other i.e they have same length.

▪️ Opposite angles are congruent to each other .

▪️ Diagonals bisect each other .

▪️ Each of the Diagonals divide the parallelogram into two congruent triangle.

Now solving the problem :-

Given that

Perimeter = 150 cm

One side is greater than other by 25 cm

Now let the smaller side be x cm

Then other side = (x + 25) cm

Now from the property of the parallelogram :-

Opposite sides are equal

→ Two of the sides = 2x

→ Two of the sides = 2(x + 25)

Now by solving it further

→ 2x + 2(x + 25) = 150

→ 2x + 2x + 50 = 150

→ 4x = 150 - 50

→ 4x = 100

→ x = 25 cm

and other side = x + 25

= 50 cm

$\sf{length \: of \: all \: sides \: of \: parallelogram : }$

$\boxed{ \sf{ \: 50 \: cm \: , \: 25 \: cm \:, 50 \: cm \: and \: 25 \: cm}}$