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?
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