Question

LMNP is a rectangle. Find the length of each diagonal. LN = x and MP= 2x-9OA. LN = 6, MP=3 OB. LN = 9, MP= 9 OC. LN = 3. MP=3 OD. LN= 3, MP= 6

Answer 1

B. LN = 9, MP= 9

Step-by-step explanation:

If LMNP is a rectangle, its diagonals are LN and MP.

In a rectangle, the lengths of the diagonals are equal, therefore:

`\begin{gathered} LN=MP \\ x=2x-9 \\ x-2x=-9 \\ -x=-9 \\ \implies x=9 \end{gathered}`

Therefore, LN = 9 and MP= 9.

The correct choice is B.