Given:
In the given rectangle,
[tex]\begin{gathered} KM=6x+16 \\ LN=49 \end{gathered}[/tex]
Required:
The value of x
Explanation:
In the rectangle, the diagonals are bisectors of each other.
Therefore,
[tex]KM\text{ = NL}[/tex]
Substituting the value in the above equation,
[tex]\begin{gathered} 6x\text{ + 16 = 49} \\ 6x\text{ = 49 - 16} \\ 6x\text{ = 33} \\ x\text{ = }\frac{33}{6} \\ x\text{ = 5.5} \end{gathered}[/tex]
Answer:
Thus the required value of x is 5.5.
