Question

The scale factor for two similar rectangles is 4. If the area of the smaller rectangle 7m^2, what is the area of the larger rectangle?
A. 112m ^ 2
B. 28m ^2
C. 196m ^2
D. 121, ^ 2

Answer 1

Answer:

A. 112 m^2

Step-by-step explanation:

If the scale factor is 4, the area of the larger figure is 4^2 times that of the smaller one.

... (7 m^2)·4^2 = 112 m^2

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The scale factor for area is the square of the scale factor for linear dimensions. When we talk about a scale factor without qualification, we mean the scale factor for linear dimensions.