Question

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

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

Solve for b

A. b= 2A/h +a
B. b= (2A-a)/h
C. b= Ah/2 -a
D. b= 2A/h -a

Answer 1

Let's solve the formula \(A = \frac{h(a + b)}{2}\) for \(b\):

\[A = \frac{h(a + b)}{2}\]

Multiply both sides by \(2\) to get rid of the fraction:

\[2A = h(a + b)\]

Divide both sides by \(h\):

\[b = \frac{2A}{h} - a\]

So, the correct option is:

D. \(b = \frac{2A}{h} - a\)