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LMNP is a rectangle.  Find the value of x and the length of each diagonal.

 

LN = 6x + 6 and MP = 9x - 3.

 Mar 12, 2021
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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

 Mar 12, 2021

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