LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 6x + 6 and MP = 9x - 3.
+526 LMNP is a rectangle and, LN and MP are diagonals.
Since, diagonals of rectangle are equal,
⇒ 6x + 6 = 9x - 3
⇒9x - 6x = 9 + 3
⇒3x = 12
⇒x = 4
Thus, LN = 6*4 + 6
= 30
and MP = 9*4 - 3
= 33
