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

Answer:

x = 11 m

y = 2 m

Step-by-step 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

Answer 2

Answer:

D. x = 11 m, y = 2 m

Step-by-step explanation: