Question

Quadrilateral LMNO is a rectangle. Solve for y

A. 2
B. 7
C. 10
D. 24

Answer 1

The answer will be C. 10. According to the properties of a rectangle. 3y-6=2y+4. y=10.

Answer 2

We know that in a rectangle the opposite sides will be equal in length. Thus, we will have
`LM=ON` and
`LO=MN`. Since we are interested only in finding the value of the variable y, we will take the equation:

`LM=ON`

Now, from the diagram,
`LM=3y-6` and
`ON=2y+4` . Thus, we get:

`3y-6=2y+4`

Rearranging and simplifying we get:

`3y-2y=6+4`

`\therefore y=10`

Thus, the solution for y is 10.