Question

LMNP is a rectangle. Find the value of x and the length of each diagonal.LN = 3x + 7 and MP == 5x - 9X=LN =MP =

Answer 1

We have the next rectangle

as we can see in the image The diagonals have the same lenght so we can do the next equality

LN=MP

$3x+7=5x-9$

we clear x

$\begin{gathered} 3x-5x=-9-7 \\ -2x=-16 \\ x=\frac{-16}{-2} \\ x=8 \end{gathered}$

the value of x is 8

the length of the diagonal is

LN=3(8)+7=31

MP=31