Question

In rectangle KLMN, KM = 6x + 16 and LN = 49. Find the value of x. (image attached)thank you ! :)

Answer 1

Given:

In the given rectangle,

`\begin{gathered} KM=6x+16 \\ LN=49 \end{gathered}`

Required:

The value of x

Step-by-step explanation:

In the rectangle, the diagonals are bisectors of each other.

Therefore,

`KM\text{ = NL}`

Substituting the value in the above equation,

`\begin{gathered} 6x\text{ + 16 = 49} \\ 6x\text{ = 49 - 16} \\ 6x\text{ = 33} \\ x\text{ = }(33)/(6) \\ x\text{ = 5.5} \end{gathered}`

Answer:

Thus the required value of x is 5.5.