Question

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=6x+9and MP=9x−6

Answer 1

see explanation

Explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 6 = 6x + 9 ( subtract 6x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39