Question

lmnp is a rectangle. find the value of x and the length of each diagonal. ln = 3x + 3 and mp = 9x - 9 x = 2 ln = 9 mp =

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, diagonals are equal. So \( LN = MP \). But we can also use the value of \( x \) found (or given as \( x = 2 \)) to find \( MP \).

Step2: Substitute \( x = 2 \) into \( MP \) formula

Given \( MP = 9x - 9 \), substitute \( x = 2 \):
\( MP = 9(2)-9 \)
\( MP = 18 - 9 \)
\( MP = 9 \)

Answer:

9