Question

31. 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

Step-by-step explanation:

let x be the length of side and other be x+25

we know that in llgm opp sides are equal

perimeter=2(x+x+25)=150

4x+50=150

4x=100

x=25

x+25=25+25=50

therefore the length of the sides are 25,25,50 and 50 cm

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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.