Find the total surface area of the pyramid
1 answer:
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There's a right angle that they want you to make a rectangle out of. I'm ignoring that and using each of the five sides to make a triangle with the origin.
A. Five triangles, zero rectangles.
B.
AB=4, the difference of the x coordinates since the y coordinates are the same
AE = 5, the difference in the y coordinates since the x coordinates are the same
C. We'll use the Shoelace Formula, adding up all those triangles I made. A triangle with vertices (0,0), (a,b), (c,d) has signed area A = (1/2)(ad-bc). We go around counterclockwise so they all have positive areas, starting with AE, then ED, DC, CB, BA.
Area = (1/2) ( (-2)(-2) - 3(-2) + (-2)(-4) - (-2)(0) + 0(-2) - (-4)(5) + 5(3) - (-2)(2) + 2(3) - (3)(-2))
Area = 69/2
