The given rectangle's diagonals are equal in length and is equal to 13 units.
Step-by-step explanation:
Step 1 :
Given
LMNP is a rectangle.
LN = 6 x + 1
MP = 9 x - 5
We need to find length of rectangle's diagonals
Step 2 :
The rectangle's diagonals are equal in length.
Here we have LN and MP as the given rectangle's diagonals
So LN = MP
=> 9x - 5 = 6x + 1
=> 9x-6x = 1+5
=> 3x = 6
=> x = 2
Step 3 :
So LN = 6x + 1 = 6(2) + 1 = 13
MP 9x -5 = 9(2) -5 = 13
Step 4:
Answer :
The given rectangle's diagonals are equal in length and is equal to 13 units.
