Answer: [tex]190ft[/tex]
Step-by-step explanation:
Side a= 110ft
Side b= ?
Height= 75ft
Area= [tex]11,250ft^2[/tex]
[tex]A=\frac{a+b}{2}h[/tex]
Solve for b. Let's begin by multiplying by 2 to get rid of the denominator.
[tex]2A=(a+b)h[/tex]
Divide by h
[tex]\frac{2A}{h}=a+b[/tex]
Subtract a
[tex]\frac{2A}{h}-a=b[/tex]
Now plug in your values.
[tex]b=\frac{2A}{h}-a[/tex]
[tex]b=\frac{2(11,250ft^2)}{75ft}- 110ft[/tex]
[tex]b=\frac{22500ft^2}{75ft}- 110ft[/tex]
[tex]b=300ft- 110ft[/tex]
[tex]b=190ft[/tex]
