Question

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

A=(a+b)/2×h

Answer 1

`a=(2A)/(h)-b`

Explanation:

we know that

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

`A=(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

`(2A)/(h)=a+b`

Subtract b both sides

`(2A)/(h)-b=a`

Rewrite

`a=(2A)/(h)-b`