How would you find the relationship between the areas of two similar geometric figures? Consider the following two similar rectangles.
The area of the smaller rectangle is. The area of the larger rectangle is
How could you have predicted this result? Look at the ratio of small width to large width:.
The small rectangle has sides that are
the small rectangle to the area of the large rectangle is
Thus we can develop the following principle:
The areas of two similar figures are in the same ratio as the square of the ratio of two
corresponding sides. Use this information to complete exercises 29 and 30.
Each pair of geometric figures is similar. Find the unknown area. Round to the nearest
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Prealgebra (6th Edition)
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