Question

Quadrilateral LMNO is a rectangle. Solve for y A. 2 B. 7 C. 10 D. 24

Answer 1

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.

Answer 2

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