Question

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. Solve for a

Answer 1

Answer:

$a=\frac{2A}{h}-b$

Step-by-step explanation:

we know that

The formula to calculate the area for a trapezoid is equal to

$A=\frac{1}{2}(a+b)h$

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

$2A=(a+b)h$

Divide by h both sides

$\frac{2A}{h}=a+b$

Subtract b both sides

$\frac{2A}{h}-b=a$

Rewrite

$a=\frac{2A}{h}-b$