Question

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

Explain how you know that Rectangle C is not a scaled copy of Rectangle B.

Answer 1

Answer: It is not scale copy (given)

Explanation:

Rectangle B: 15 by 10

Rectangle C: 30 by 15

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First way: Compare the ratio among themselves

Rectangle B: 15:10=3:2

Rectangle C: 30:15=2:1

Apparently, the two side ratios are not the same, thus it is not scale copy

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Second way: Compare the ratio between the two.

Length: Rectangle B:Rectangle C=15:30=1:2

Width: Rectangle B:Rectangle C=10:15=2:3

1:2≠2:3

Thus, Rectangle C is not a scaled copy of Rectangle B

Answer 2

Explanation:

The length is x2 while the width is x1.5

Therefore it cannot be a scaled copy