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

Answer 1

The answer is b=2A/h-a

Answer 2

Given that the formula for a trapezoid that relates the area A, the two bases, a and b, and the height, h is given by:


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

To solve for b, first multiply both sides by 2 to get:

2A = h(a + b) = ah + bh

Next, subtract ah from both sides to get:

2A - ah = bh

Next, divide both sides by h, to get:


`((2A-ah))/(h) =b \\ \\ \therefore b=(2A-ah)/(h)`