Tom’s toy box is shown below. The toy box is shaped like a rectangular prism. It has 5 wooden faces and is open on the top What is the total surface area of the 5 faces of the toy box that are wooden?. A 225 square inches
B 900 square inches
c 1,100 square inches
d 3,000 square inches

poop

Step-by-step explanation:

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

1. perpendicular

2. parallel

3. perpendicular