LMNP is a rectangle. Find the value of x and the length of each diagonal. LN = 13x-8 and MP = 9x+5

x = 3.25

Each diagonal = 34.25.

Step-by-step explanation:

LMNP is a rectangle and it has diagonals LN and MP.

Now, given that LN = 13x - 8 and MP = 9x + 5

Now, we know that the two diagonals of a rectangle are of the same length.

So, LN = MP

⇒ 13x - 8 = 9x + 5

⇒ 4x = 13

⇒ x = 3.25 (Answer)

Therefore, the each diagonal is of (13 * 3.25 - 8) = 35.25 length. (Answer)