SOLUTION: Jennifer knows that two rectangles are similar and that the ratio of corresponding sides is 2:5. She also knows that the ratio of the perimeters of the two rectangles is 2:5. Based

Question 125337: Jennifer knows that two rectangles are similar and that the ratio of corresponding sides is 2:5. She also knows that the ratio of the perimeters of the two rectangles is 2:5. Based on this knowledge, Jennifer thinks that the ratio of the areas of the two rectangles is 2:5. Using graph paper, draw approximate rectangles to prove or disprove Jennifer's thinking.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Draw a rectangle that is 2 units by 4 units, then draw another rectangle that is 5 units by 10 units. The area of the smaller rectangle will be 8 and the area of the larger will be 50, and you can see that the ratio of 8 to 50 is very different than the ratio of 2 to 5. The short side of the large rectangle is 2.5 times larger than the short side of the small rectangle, and the same situation exists for the relationship between the long sides. But the area of the small rectangle will fit into the large rectangle more than 6 times.

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