Respuesta :

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]