Matt’s friend, Franny, found that the volume of a rectangular prism was 96 in sqaured. She remembered that the area of the base
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Since triangle ADE is similar to triangle ABC and the scale factor is 2, the following relation must be fulfilled:
The, by substituting the given information, we have
By multiplying both sides by x+2, we get
which gives
Then, by subtracting 4x to both sides, we have
and by adding 8 to both sides, we obtain
then, x is given by
Then, by substitutn
If
On the other hand, if the smaller set is entirely contained within the larger set, i.e.