kathykolleper1ov
kathykolleper1ov kathykolleper1ov
  • 08-09-2018
  • Mathematics
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Hirn would like to estimate the area of Nevada using a trapezoid. He uses the dimensions shown as approximation. What is the approximate area of Nevada.

Hirn would like to estimate the area of Nevada using a trapezoid He uses the dimensions shown as approximation What is the approximate area of Nevada class=

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jdoe0001 jdoe0001
  • 08-09-2018

check the picture below.


so the area Hien outlined is just a 207x320 rectangle and a triangle with a base of 320 and a base of "h", now using the pythagorean theorem, we can see that h ≈ 248.24, now recall that the area of a triangle is A = (1/2)bh.

so let's get the area of those two, sum them up and that's the area Hien outlined.


[tex]\bf \stackrel{square}{(320\cdot 207)}~~+~~\stackrel{triangle}{\cfrac{1}{2}(320)(248.24)}\implies 66240+39718.4\implies 150958.4[/tex]

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