Question

Two adjacent sides of a parallelogram are in the ratio 3:8 and its perimeter is 110 cm.find the sides of the parallelogram.

Answer 1

let the side be 3x and its adjacent side be a 8x.then 3X+8X+3X+8X=110
22X=110
X=5.






8X=8*5=40
3X=3*5=15...

Answer 2

ratio of two adjacent sides = 3 : 8

let the constant ratio be 'x'

let the adjacent sides are 3x. , 8x


perimeter = 110cm


2( sum of adjacent sides) = 110cm


2( 3x + 8x) = 110


22x = 110 => x = 5


thus ,

adjacent sides are 3x = 3× 5 = 15cm

and 8x = 8 × 5 = 40cm


since we know opposite sides of parallelogram are equal.

so then , other two sides of parallelogram are

15cm, 40cm


therefore,

All the sides of parallelogram are

15cm, 40cm , 15cm , 40cm