Question

In a parallelogram ABCD, if AB = y + 1, CD = 2x + 5, AD = y + 5 and BC = 3x – 4 then find the ratio of AB : BC .​

Answer 1

the ratio of AB: BC is 31:35

Answer 2

☄️ Question :-

In a parallelogram ABCD, of AB = y+1, CD = 2x+5, and AD = y+5, BC = 3x-4, then find the ratio of AB : BC.

☄️ Solution :-

⭐ Given that ABCD is an parallelogram with sides :-

• AB = y+1
• CD = 2x+5
• AD = y+5
• BC = 3x-4

⭐ We have to find the ratio of AB : BC.

We know that in a parallelogram opposite sides are equal, so :-

• AB = CD
• AD = BC

⭐ Equating them :-

• y+1 = 2x+5
• y+5 = 3x-4

⭐ On solving them by substitution method, we get :-

• x = 13
• y = 30

Putting the values in AB, BC :-

• AB = y+1 = 30+1 = 31
• BC = 3x-4 = 3(13)-4 = 35

⭐ The ratio required = AB : BC = 31 : 35.