Question

The 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 sidesa.

Answer 1

Given, perimeter of parallelogram = 150cm
As we know that opposite sides of llgm are equal.
so, let two opposite ll sides be x cm
and other two ll sides be 25+x cm
so. sum of all sides=150cm
x+x+25+x+25+x=150cm
4x+50=150
4x=100
x=25 cm
so,first two sides of ll gm=x =25cm
and other two ll sides= 25+x=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.