Question

In the figure below, L N equals 4 x minus 7 and M O equals 2 x plus 13. For which value of x is the figure a rectangle?

Answer 1

For this case we have the following data:

$LN = 4x-7$

$MO = 2x + 13$

So that the figure can be a rectangle, its diagonals must be equal, that is, $LN = MO$

In this way we have:

$4x-7 = 2x + 13$

Clearing x we have:

$4x-2x = 13 + 7 \\2x = 20$

$x=\frac{20}{2} \\x = 10$

Thus, x must be equal to 10 so that the figure is a rectangle.

Answer:

$x = 10$

Option A