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the two solids below are similar and the ratio between the lengths of their edges is 4:7 what is the ratio of their surface areas? A 7:4 B 16:49 C 16:29 B 64:343

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Answer:

B. 16:49

Explanation:

The area ratio is the square of the edge length ratio:

area ratio = (4:7)² = 4²:7² = 16:49

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It might help you to recall that area is the product of two linear dimensions if each is multiplied by 4/7, the resulting product will be multiplied by (4/7)².

A = LW

A' = (4/7L)(4/7W) = (4/7)²(LW) = (16/49)·A

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