Question

the perimeter of a parallelogram is 150 cm. and one of its side is greater than the other by 25 cm. find the length of all the sides of that parallelogram....plz answer it it's very urgent plz...

Answer 1

GIVEN:-

Perimeter of Parallelogram= 150cm.

One of it's side is greater than other by 25cm.

TO FIND:-

Length of all sides of that Parallelogram.

Now,

Let the Smallest side be "x"

Greater sides = (x+25)cm.

Perimeter of Parallelogram=2(Greater Side+ Smaller Side)

150cm = 2((x+25)+x)

150cm= 2(2x+25)

150/2= 2x+25

75=2x+25

75-25= 2x

50= 2x

x= 25

So,

Smallest side = 25cm.

Greater side = 25+ 25= 50cm.

So, The length all sides of Parallelogram are 25,25,50 and 50.

MORE TO KNOW

• Area of Parallelogram= Base× Height.

• Number of Vertices are 4

• Number if edges are 4

• All sides are equal.

• Sum if adjacent side of Parallelogram is 180°>

Answer 2

Hi there!

Your Answer :-

Let the Smallest Number be x cm.

Let the Biggest Number be x+25 cm.

Perimeter = 2(One Side + Other Side).

$\bf{2(x + x + 25) = 150}$

$\bf{2(2x + 25) = 150}$

$\bf{4x + 50 = 150}$

$\bf{4x = 150 - 50}$

$\bf{4x = 100}$

$\bf{}x = 25 \: cm$

Smallest Unit = 25cm.

Greatest Unit = 25+25 = 50cm.