Question

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

Answer:

hello

let, first two equal sides be x

and other be y

so,

ATo Q,

x = y +25

but,

x +x+y+y=150

put value of y ,

y+25+y+25+y+ y=150

4y. = 100

y. = 25

x. =50

HOPE IT HELP YOU

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

$\sf{length \: of \: all \: sides \: are : } \\ \sf{ \: 50cm \: , 25cm, 50 \: cm \: and \: 25 \: cm}$