Question

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=2x+25 and MP=6x−7

Answer 1

Answer: The value of x is 8.

Length of LN = 2(8)+25 = 16+25 = 41 units.

Length of MP = 6(8)-7 = 48-7 = 41 units.

Step-by-step explanation:

As we know that

Diagonals of rectangle is equal to each other.

LN  = 2x+ 25

MP = 6x - 7.

According to above statement, we have that

LN  = MP

$2x+25=6x-7\\\\25+7=6x-2x\\\\32=4x\\\\x=\dfrac{32}{4}=8$

Hence, the value of x is 8.

Length of LN = 2(8)+25 = 16+25 = 41 units.

Length of MP = 6(8)-7 = 48-7 = 41 units.

Answer 2

2x+25=6x-7
4x=32
x = 8
LN = 41
MP = 41