Question

What is the formula for the area A of a trapezoid with parallel sides of length B and D, nonparallel sides of length A and C and height H?

A. A = 1/2h (a+c)
B. A = 1/2h (b + d)
C. A = a+b + c + d
D. A= abcd
E. A = 1/2h (a+b+c+d)

Answer 1

`(B) \frac12H (B+D)`

Explanation:

`\text{Area of a trapezoid }= \frac12 ($Sum of the parallel sides) * $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \frac12 (B+D) H`

The correct option is B.