Question

The formula for the area of a trapezoid with altitude k and bases m and n is A=k/2(m+n). Solve for m.

a) 2A - kn / k
b) 2A + kn / k
c) 2A - n / k

Answer 1

To solve for the base m in the trapezoid area formula A=k/2(m+n), we rearrange the formula to (2A/k) - n, giving us the expression for m.

Step-by-step explanation:

The student is asking how to solve for base m in the area formula of a trapezoid, given as A = k/2(m + n). To find m, we'll rearrange the formula step-by-step:

1. Multiply both sides by 2 to eliminate the fraction: 2A = k(m + n).
2. Divide both sides by k to isolate (m + n): (2A/k) = m + n.
3. Subtract n from both sides to solve for m: m = (2A/k) - n.

Therefore, the correct expression for m is (2A/k) - n, which matches option (c).