SOLUTION: A rectangle has length of 28 cm & breadth of 12cm.what is the area of the least number of these rectangles used to form the smallest square possible? I cant get this one please he

Question 1022286: A rectangle has length of 28 cm & breadth of 12cm.what is the area of the least number of these rectangles used to form the smallest square possible?
I cant get this one please help me...
Answer by engsaoudah(9) (Show Source): You can put this solution on YOUR website!
find the factors of the side lengths so that we can work out a square shape to make if we simply placed them side by side. By finding the factors we can find the lowest common multiple of the two numbers.
12 = 2 x 2 x 3
28 = 2 x 2 x 7
2 x 2 x 3 x 7 = 84
So if we placed them side by side we would get an 84cm by 84cm square. This would involve 21 rectangles, with 3 rows of 7, as 84/12 = 7 and 84/28 = 3. So the area will be 84 x 84 which equals 7056cm^2
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