Question

a formula for the area , a , of a trapezoid is A, of a traoezoid is a A + 1/2h(b_{1}+b_{2}), where h represents the heightbetween two bases, b_{1} and b_{2}. solove the equations for b_{1}, the length of one of the bases

Answer 1

b_1 = (2A/h) - b_2

Explanation:

A = (h/2)(b_1 + b_2)

Multiply both sides by 2:

2A = h(b_1 + b_2)

Divide both sides by h:

b_1 + b_2 = 2A/h

Subtract b2 from both sides:

b_1 = (2A/h) - b_2