Question

the perimeter of a paralleogram ia 150 cm . one its side is greater than the other by 25 cm . find the length of all the sides of the parallelogram . answer please ​

Answer 1

HEY!
HERE IS THE ANSWER:
Given,
Perimeter of the parallelogram is 150cm

Formula for perimeter of parallelogram is 2(a+b)

Let one side be x

The other side is x+25 {according to the question}
a=x;b=x+25

Perimeter of parallelogram=150cm

2(a+b)= 150cm

2(x+x+25)=150

2x+25=150/2

2x+25=75

2x=75-25

2x=50

x=50/2

x=25

a=25cm

b=x+25

b=25+25

b=50cm

Therefore one side of the parallelogram is 25cm and the other is 50cm.
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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.