Answer:
[tex]a=\frac{2A}{h}-b[/tex]
Step-by-step explanation:
we know that
The formula to calculate the area for a trapezoid is equal to
[tex]A=\frac{1}{2}(a+b)h[/tex]
where
a and b are the parallel bases
h is the height of trapezoid
A is the area
Solve for a
That means ----> isolate the variable a
Multiply by 2 both sides to remove the fraction in the right side
[tex]2A=(a+b)h[/tex]
Divide by h both sides
[tex]\frac{2A}{h}=a+b[/tex]
Subtract b both sides
[tex]\frac{2A}{h}-b=a[/tex]
Rewrite
[tex]a=\frac{2A}{h}-b[/tex]