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The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 17 feet and 15 feet long. It has an area of 64 square feet. What is the height of the cross section?

Respuesta :

Hi1315

Answer:

[tex]4 \: \: feet[/tex]

Step-by-step explanation:

[tex]area \\ 64 = \frac{1}{2} (a + b) \times h \\64 = \frac{1}{2} (17 + 15) \times h \\ 64= \frac{1}{2} \times 32 \times h \\ 64 = \frac{32h}{2} \\ 64 = 16h \\ \frac{64}{16} = \frac{16h}{16} \\ h = 4 \: \: feet[/tex]

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