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Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft2. To the nearest foot, how much fencing will she need to enclose the garden?

 Jan 18, 2020
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Area of triangle = 1/2 b h     in a 45 90 45 triangle   b  and h are the same value

 

1/2 b^2 =32

b^2 =64

b = 8        she will nee two 8 ft pieces = 16 ft   PLUS the lenght of the hypotenuse

 

sqrt (8^2 + 8^2)    = hyp = 11.31 ft      (via pythag theorem)

 

11.31 + 16 = 27.3 ft of fence ~~ 27 ft

 Jan 18, 2020

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