Question

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

Answer 1

let breadth be x

and length be

A.T.Q.

x+25

perimeter of parallelogram=2(l+b)

150=2(l+b)

150=2(x+25+x)

150/2=2x+25

75=2x+25

75-25=2x

50=2x

x=25cm

so, the breadth is 25 cm

and the length=x+25=25+25=50cm

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.