Question

the ratio of two adjacent side of a parallelogram

Answer 1

Let ABCD the parallelogram

Let , AD=BC=2x. (opposite sides are equal)

AB=DC=3x. (opposite side are equal)


Perimeter=40

2×{l+b}=40

2×{2x+3x}=40

x=4cm

Since, AD=BC=2×4=8cm. Ans

AB=DC=3×4=12cm. Ans

Answer 2

ANSWER

AB = 8 cm

AB = 8 cmBC = 12 cm

AB = 8 cmBC = 12 cmCD = 8 cm

AB = 8 cmBC = 12 cmCD = 8 cmDA = 12 cm

STEP BY STEP EXPLANATION

let ABCD be a parallelogram

ATQ,

AB : BC = 2:3

let the ratio be x

then adjescent sides will be 2x and 3x

AB = CD = 2x and BC = AD = 3x [opposite sides]

given perimeter = 40 cm

ATQ,

2x + 3x + 2x + 3x = 40

10x = 40

$\large{x = \frac{ \large{40}}{ \large{10}} }$

$\large \boxed{x = 4}$

now ,

sides = 2x = 2(4) = 8 cm

3x = 3(4) = 12 cm

SO,

AB = 8 cm

BC = 12 cm

CD = 8 cm

DA = 12 cm