13 January, 17:52

# Michel uses the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. A square with side lengths of 12 inches. Scale factor: 3 inches = 2 meters. Which proportion could Michel use to solve the side length, x, of the enlarged square? StartFraction 3 inches over 2 meters EndFraction = StartFraction x meters over 12 inches EndFraction StartFraction x inches over 2 meters EndFraction = StartFraction 3 inches over 12 meters EndFraction StartFraction 3 inches over x meters EndFraction = StartFraction 2 meters over 12 inches EndFraction StartFraction 3 inches over 2 meters EndFraction = StartFraction 12 inches over x meters EndFraction

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1. 13 January, 18:06
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x = 8 meters
2. 13 January, 18:11
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Step-by-step explanation:

The scale factor used by Michel in the given scenario is 3 inches = 2 meters. It means that 3 inches on the drawing represents 2 metres on the actual or enlarged square. If the length of the enlarged square is x, the calculation for x would be as follows:

3/2 = 12/x

Cross multiplying, it becomes

3x = 2 * 12 = 24

x = 24/3

x = 8 meters

Therefore, the proportion that Michel could use to solve the side length, x, of the enlarged square is

StartFraction 3 inches over 2 meters EndFraction = StartFraction 12 inches over x meters EndFraction