Question

in parallelogram ABCD, ab is equal to 3 x minus 4 cm BC is equal to Y - 1 cm CD is equal to Y + 5 cm and AD is equal to 2 X + 5 cm find the ratio ab is to BC​

Answer 1

Question :-

In parallelogram

ABCD, AB = (3x−4) cm, BC = (y−1) cm,

CD = (y+5) cm and AD = (2x+5) cm,

Given :

ABCD with AB =(3x−4), BC =(y−1),

CD =(y+5), AD =(2x+5).

Find :-

The ratio AB : BC

In a parallelogram, opposite sides are equal,

Therefore,

AB = CD, BC = AD.

For AB = CD,

3x−4 = y+5,

3x−y=9 ⠀⠀⠀⠀(1)

Therefore,

y−1 = 2x+5

⇒y−2x = 6

⇒2x−y = −6⠀⠀⠀⠀(2)

From (1) and (2), we have.

⇒ 3x−y=9

⇒ 2x−y=−6

Now, AB = 3x−4 = 41

BC = y−1 = 35

Ratio of AB:BC = 41 : 35

Answer 2

Question :-

In parallelogram

ABCD, AB = (3x−4) cm, BC = (y−1) cm,

CD = (y+5) cm and AD = (2x+5) cm,

Given :

ABCD with AB =(3x−4), BC =(y−1),

CD =(y+5), AD =(2x+5).

Find :-

The ratio AB : BC

In a parallelogram, opposite sides are equal,

Therefore,

AB = CD, BC = AD.

For AB = CD,

3x−4 = y+5,

3x−y=9 ⠀⠀⠀⠀(1)

Therefore,

y−1 = 2x+5

⇒y−2x = 6

⇒2x−y = −6⠀⠀⠀⠀(2)

From (1) and (2), we have.

⇒ 3x−y=9

⇒ 2x−y=−6

Now, AB = 3x−4 = 41

BC = y−1 = 35

Ratio of AB:BC = 41 : 35