Question

Alberto has a scale drawing of an object whose area is 12 square centimeters. The scale factor is 1:3 Alberto says that the area of a real object is 36 square centimeters is Alberto's answer is correct.
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Answer 1

Answer:

No, Albert's answer is not correct

Step-by-step explanation:

For illustrative purposes, let's say the object is a rectangle with width 2cm and length 6cm.  

Therefore, area = width x length = 2 x 6 = 12 cm²

If the scale factor is 1 : 3, then each side of the real object should be 3 times larger than the scale drawing.

So the width = 2 x 3 = 6 cm

and the length = 6 x 3 = 18 cm

Therefore, the area of this rectangle would be 6 x 18 = 108 cm²

So the scale factor of the area is:  12 : 108 = 1 : 9

so Alberto's answer is incorrect, as 12 : 36 is NOT 1 : 9