Question

8. The figure shows a parallelogram with its sides as indicated. Find the pe
of the parallelogram.
(x + y + 1) cm
Pg # 87
Ssee
ed.pl
(2y - x) cm
(x + 2) cm
cled.
(3x - 4) cm
Pg #86
Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
roboto numbers​

Answer 1

Explanation:

Given, Parallelogram ABCD with AB =(3x−4), BC =(y−1), CD =(y+5), AD =(2x+5)

In a parallelogram, opposite sides are equal,

Therefore, AB = CD, BC = AD.

For AB=CD,

3x−4=y+5,

3x−y=4+5

3x−y=9 ......(1)

For BC=AD,

Therefore, y−1=2x+5

⇒y−2x=6

⇒2x−y=−6 .....(2)

From (1) and (2), we have

3x−y=9

⇒2x−y=−6

Solving for x and y, we get

x=15

⇒y=36

Now, AB =3x−4=41

BC =y−1=35

Ratio of AB:BC =41:35.