If the area of the following figure is 46 square centimeters, what is the height of the trapezoid?

bottom: 15 cm
top: 8 cm

dotted line with a box right before the curve from the top. which is h.

4 cm
2 cm
5.75 cm
3.1 cm

Trapezoid is a four-sided figure with unequal bases. Only two of its sides are parallel. Its area is calculated through the equation,
                           A = MH
where A is area, M is median, and H is height. 

Median is calculated by the getting the average of the bases.
                        M = 0.5(b₁ + b₂)
Substituting the given,
                        M = 0.5(15 cm + 8 cm) = 11.5 cm

The equation for the value of H,

                          H = A/M
                          H = 46 cm²/(11.5 cm) = 4 cm

ANSWER: 4 cm