Answer: x = 40
Step-by-step explanation:
[tex]A=l*w[/tex]
We have;
[tex]Area=200units^2\\length=8units\\width=\frac{1}{2}x+5units[/tex]
Solve for w;
[tex]w=\frac{A}{l} \\[/tex]
[tex]\frac{1}{2}x+5=\frac{200}{8}[/tex]
[tex]\frac{1}{2}x+5=25[/tex]
Subtract 5
[tex]\frac{1}{2}x=25-5[/tex]
[tex]\frac{1}{2}x=20[/tex]
Multiply by 2
[tex]2*\frac{1}{2}x=20*2\\ x=40[/tex]
