The formula for the area of a trapezoid is
.
Solve
for h.
Multiply each side by
.

Cancel common terms.
\
.
This is option A.
Solve
for
.
Multiply each side by
.

Cancel common terms.
\
Subtract each side by
.

.
This is option B.
Solve
for
.
Multiply each side by
.

Cancel common terms.
\
Subtract each side by
.

.
This is option D.
The option C is not equivalent to the formula.