Question

The formula for the area of a trapezoid is A = 1 2 h ( b 1 + b 2 ) , A= 2 1 ​ h(b 1 ​ +b 2 ​ ), where h h is the height and b 1 b 1 ​ and b 2 b 2 ​ are the two bases. Rewrite the formula to solve for h h in terms of A , A, b 1 b 1 ​ and b 2 . b 2 ​ .

Answer 1

h = 2A / (b1 + b2)

Explanation:

A = 1/2h (b1 + b2)

Divide both sides by 1/2 (b1 + b2)

h = A / 1/2 (b1 + b2)

h = 2A / (b1 + b2)

Answer 2

2A / (b1+b2) = h

Explanation:

The formula for the area of a trapezoid is

A = 1/2 (b1+b2) *h

We want to solve for h

Multiply each side by 2

2A = 2*1/2 (b1+b2) *h

2A = (b1+b2) *h

Divide each side by (b1+b2)

2A / (b1+b2) = (b1+b2) / (b1+b2) *h

2A / (b1+b2) = h