To find the values of x and y in the given parallelogram, we can use the properties of parallelograms. In a parallelogram, opposite sides are equal in length.
We have:
- MP (which is a side) = 21 m
- LP = 3 m
- NP = 3y + 1 m
- OP = 2x + 1 m
Since LMNO is a parallelogram, we can set the opposite sides equal to each other:
- MP = OP
- LP = NP
From MP = OP:
21 = 2x + 1
Solving for x:
21 - 1 = 2x
20 = 2x
x = 10
Next, from LP = NP:
3 = 3y + 1
Solving for y:
3 - 1 = 3y
2 = 3y
y = 2/3
Thus, we find:
- x = 10
- y = 2/3