Question

the perimeter of a parallelogram is 150 cm one of its side is greater than the other by 25 cm find the length of all sides of the parallelogram

Answer 1

p= 150 cm
let the 1st side be x
2nd side= x+25


p= 2 (a+b)
150 cm= 2 (x+x+25)
150 cm = 4x +50
4x =150-50=100
4x =100
x = 100÷4=25
so 1 side is 25 then other side is 25+25=50

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

Lengths of all sides of parallelogram are 50cm , 25cm , 50cm and 25cm.