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.

Solution:

Given:

Area of a trapezoid is A = k/2(m + n)

k= altitude

m and n = bases

Since we need to solve for m, let us isolate the variable 'm'.

It can be written as A = ((m + n)/2) × k

1/2(k)(m + n) = A

2A/k = m + n

m = 2A/k - n

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.

Summary :

If the formula for the area of a trapezoid with altitude k and bases m and n is A = k/2(m + n), then m = 2A/k - n.