Perimeter of a parallelogram is 150 cm. One of its sides is greater than the other side
by 25 cm. Find the lengths of all sides
Answers
Answer:
let one side be x
other will be x+25
perimeter of parallelogram= x+ x+ =x+25+x+25=150
4x+50 = 150
4x=150-50
4x= 100
x= 100 /4
x= 25ans
x+25= 25+25= 50 ans
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.