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enyata [817]
3 years ago
12

a trapezoide has an area of 150 square meters. If the bases are 14 meters and 16 meters, what is the height of the trapezoid​

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer:

h = 10 m

Step-by-step explanation:

The formula for area of a trapezoid is  

A = (1/2)(B + b)h   where B is the bottom base, b is the top base, and h is the height.  

We are given B = 16, b = 14, and A = 15, plug those values in and simplify

150 = (1/2)(16 + 14)(h)

      150 = (1/2)(30)(h)

          150 = (15)h             (half of 30 is 15)

                10 m =  h       (divide both sides by 15 to isolate h)

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Check the picture below.

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\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}
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