Question

The shorter side of a parallelogram is 25cm less than its longer side. If the perimeter of the parallelogram is 266cm, find its bigger side.

Answer 1

To find:

the bigger side of a parallelogram

Given :

• the bigger side of the parallelogram is 25 cm longer than the shorter side
• the perimeter of parallelogram = 266 cm

let's assume :

the bigger side of parallelogram is x

and shorter side is x-25

Formula to be used:

• the formula of perimeter of parallelogram is the same as that of rectangle
• perimeter of parallelogram = 2(l+b)

Solution:

perimeter of parallelogram = 2(l+b)

=> 266 cm = 2(x+x-25)

=> 2(2x-25) = 266 cm

=> 4x-50 = 266 cm

=> 4x = 266+50

=> 4x = 316

=> x = 79 cm

so, length of the longer side = 79 cm

Answer 2

Answer:

LARGER SIDE= 79

SMALLER=74

Step-by-step explanation:

PERIMETER OF PARALLELOGRAM =2A+2B AS 2(A+B)

SO SUBTITUTE IT AS

LET A =LONGER SIDE

LET B = SHORTER SIDE

SO;

ATQ:

SHORTER SIDE =LONGER SIDE - 25

THAT IS;

B=A-25

SO,

2(A+B)=266

=)2A+2(A-25) =266                 [SUBSTITUTED VALUE]

= 2A+2A-50=266

= 4A-50=266

4A=266+50

4A=316

A=316/4

A=79

SO WE GOT LONGER SIDES VALUE(A)=79

SO SHORTER SIDE(B) =79-25

                                       = 74