Question

if JKLM is a rectangle, JL = 2x + 5, and MK = 7x - 40, find MK

Answer 1

In a rectangle the diagonals are equal
7x-40=2x+5
7x-2x=5+40
5x=45
x=9
Therefore MK=7×9-40=23

Answer 2

Answer:

MK=23

Step-by-step explanation:

It is given that JKLM is a rectangle and $JL=2x+5$ and $MK=7x-40$.

Now, we know that the diagonals of the rectangle are equal, therefore

$JL=MK$

⇒$2x+5=7x-40$

⇒$2x-7x=-40-5$

⇒$-5x=-45$

⇒$x=9$

Thus, the value of MK will be:

$MK=7(9)-40$

$MK=63-40$

$MK=23$