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

Mathematics

2 answers:

kenny6666 [7]3 years ago

7 0

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.

Nana76 [90]3 years ago

3 0

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

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