What is the surface area of this design?

197 in

Explanation:

6.4x5=32

9x5=45

5×5=25x4=100

5×4×0.5=10×2=20

32+45+100+20=197

197 inches squared

Step-by-step explanation:

Break down the sides,

Side 1, (front) 5*5=25

Side 2, (slanted compound shape) break down compound into triangle and square: 5*5=25, 4*5/2=10

Side 3, (slanted compound shape) break down compound into triangle and square: 5*5=25, 4*5/2=10

Side 4, (top slanted) 6.4*5=32

Side 5, (Bottom) 5*5=25

Side 6, (Back) 9*5=45

Add all together, 25+25+10+25+10+32+25+45=197

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3