Martintwinlight7767 Martintwinlight7767
  • 10-01-2021
  • Mathematics
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A trapezoid has an area of 152 square kilometres. One base is 5 kilometres long. The height measures 16 kilometres. What is the length of the other base?

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yahyeet22164 yahyeet22164
  • 10-01-2021

Answer:

14 km

Step-by-step explanation:

The area of a trapezoid is

[tex]A = (\frac{b_{1}+b_{2}}{2} )h[/tex]

with [tex]b_{1}[/tex] being base 1, [tex]b_{2}[/tex] being base 2, and h being the height.

Substituting and solving, we get

[tex]152=(\frac{5+b_{2}}{2})(16)\\9.5=(\frac{5+b_{2}}{2})\\19=5+b_{2}\\b_{2}=14 km[/tex]

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