volume_mute
Trapezoid Height Extraction
publish date: 2026/05/16 21:27:29.441488 UTC
volume_mute
A trapezoid possesses parallel bases of \(b_1 = 9\text{ m}\) and \(b_2 = 15\text{ m}\). If its computed area is exactly \(72\text{ m}^2\), what is its vertical height?
Correct Answer
6 m
Explanation
Use \(A = \frac{1}{2}(b_1 + b_2)h\):
\[72 = \frac{1}{2}(9 + 15)h \implies 72 = 12h \implies h = 6\text{ m}\]
Reference
Mathematics for college students