cydney built a display stand out of two cubes the larger cube is 8 inches on each side the smaller cube is 4 inches on each side she painted the display stand after she put the two cubes together she did not paint the bottom of the display stand what was the total area she painted

36

Step-by-step explanation:

8 x 3 = 24

4 x 3 = 12

24 + 12 = 36

i would need to see the dot plot : )

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4