Answer: [tex]7in[/tex]
Step-by-step explanation:
[tex]Formula: A=2(wl+hl+hw)[/tex]
Solve for h;
Let's begin by dividing by 2.
[tex]\frac{A}{2}=wl+hl+hw[/tex]
Subtract wl because it's the only term that doesn't have h.
[tex]\frac{A}{2}-wl=hl+hw[/tex]
Plug your values into the formula.
[tex]\frac{286in^2}{2}-(5in)(9in) =h(9in)+h(5in)\\143in^2-45in^2=9inh+5inh\\98in^2=14inh[/tex]
Divide by 14 to isolate h.
[tex]\frac{98in^2}{14in}=h[/tex]
[tex]7in=h[/tex]
