Question

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

Answer 1

4cm

Explanation:

Area= 1/2(b1 +b2)(h)

46 = 1/2(8+15)(h)

46 = 1/2(23)(h)

46/11.5=11.5h/11.5

4 = h

Answer 2

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