the perimeter of parallelogram is 150 cm one of its side is greater than the other by 25 cm find the length of the all sides of the parallelogram
Answers
50, 25, 50 ,25cms.are the sides
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