In rectangle LMNP LN=7x-8 and MP=4x+1 find the length of LN

Question

Kinley

Mathematics

11 October, 11:32

In rectangle LMNP LN=7x-8 and MP=4x+1 find the length of LN

+3

Answers (1)

Know the Answer?

Keaton Branch · Answer 1

LN = 13 units.

Step-by-step explanation:

If LMNP is a rectangle, then LN and MP are the two diagonals of the rectangle and they are equal.

Now, given that LN = 7x - 8 and MP = 4x + 1

So, 7x - 8 = 4x + 1

⇒ 3x = 9

⇒ x = 3

Therefore, LN = 7x - 8 = 7 (3) - 8 = 13 units. (Answer)