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 =

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, diagonals are equal. So \( LN = MP \).

Step2: Set up equation

Given \( LN = 3x + 3 \) and \( MP = 9x - 9 \), so \( 3x + 3 = 9x - 9 \).

Step3: Solve for x (already given x=2, verify)

Substitute x=2 into LN: \( 3(2)+3 = 6 + 3 = 9 \).

Answer:

9