Math, asked by janhvisonkars, 11 months ago

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

Answered by Haridasan
2

50, 25, 50 ,25cms.are the sides

Answered by Anonymous
18

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

So the sides of Parallelogram

{\boxed{\sf{ = 25 \: cm\:,\:50 \: cm\:, \: 25 \: cm \: and \:50 \: cm}}}

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