Question

In the figure below, LN =4x-7 and MO=2x+13. For which value of x is the figure a rectangle?

Answer 1

x=10

Explanation:

Answer 2

The figure is a rectangle for
`x=10`

Explanation:

we know that

If the figure MLON is a rectangle (see the attached figure to better understand the problem)

then

The diagonals must be congruent

so

LN=MO

substitute the given values and solve for x

`4x-7=2x+13`

Group terms

`4x-2x=13+7`

`2x=20`

`x=10`