In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y - 1) m, and OP = (2x - 1) m. What are the values of x and y?
x = 10, y = 1
x = 10, y = 2
x = 11, y = 1
x = 11, y = 2

parallelogram LMNO with the diagonals

Solution:

Given, LMNO is a parallelogram.

We know that the diagonals of a parallelogram are equal.

So, LN = OM,

OM and LN are the diagonals which bisect each other at point P.

MP = OP and LP = NP

(2x - 1) m = 21 m

2x = 21 + 1 = 22

x = 11

and (y + 3) m = (3y - 1) m

3y - y = 3 + 1

2y = 4

y = 2

The values of x and y are 11 and 2 respectively.

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y - 1) m, and OP = (2x - 1) m. What are the values of x and y?

Summary:

The values of x and y are 11 and 2 respectively.

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