Question

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and

OP = (2x – 1) m.

Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.

What are the values of x and y?

Answer 1

D. x = 11 m, y = 2 m

Explanation:

Answer 2

x = 11 m

y = 2 m

Explanation:

The given figure is parallelogram, with MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m

It is property of parallelogram that, the diagonals bisect each other.

Thus, from above,

MP = OP and LP = PN

Thus,

`2x-1 = 21`

`2x = 22`

`x = 11`

and,

`y+3 = 3y-1`

`2y = 4`

`y = 2`

Thus, x = 11 m and y = 2 m