Aldo's company manufactures rectangular storage sheds. The sheds are made with aluminum side panels that measure 8 feet, 10 feet, 12 feet, and 15 feet along the bottom edge. For example, one possible shed measures 10 feet by 10 feet. Another possible shed measures 12 feet by 15 feet. List the measurements of all the possible sheds. How many different-sized sheds can be made?

Answer 1

You want to choose any 2 of the 4 measurements
which would be C(4,2) = 6
- easy to list

If the order of the dimensions matter, there would be 12 of them.
e.g. in a 10 by 12, you could have the door along the 10 ft side or the
12 ft side, they would be "different" sheds

You will have to decide how to interpret the question.

Answer 2

there are 4 side lengths that can be paired with any other length

so, 12 pairs (4 * 3) ... but, 8 by 10 is the same as 10 by 8
... 6 possible shed sizes

also, squares are rectangles ... an additional 4 sizes

Answer 3

c'mon, guys -- 4^2 = 16 shed sizes
his examples clearly indicate a size may be square