To have 12 same size squares in a rectangle the grid of squares will be 1x12, 2x6 or 3x4. This means that the ratio of the length to the width is either 1:12, 2:6, 3:4, 4:3, 6:2 or 12:1. If the ratio of the length to width is none of those, then 12 same-size squares cannot fit.
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Any rectangle in which the ratio of the lengths of sides is not one of
There are 9 squares I can see 12 squares in an array of 2 * 4 squares
Rectangular Prism
Eight squares are needed.
12 squares in total.
The rectangle can be thought of as two adjacent 12 x 12 squares. Each square has an area of 144 sq. ft., making the entire rectangle 288 sq. ft. thereby creating a needless extra step, since the area of the rectangle is 12 x 24 = 288 sq. ft.