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Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary. 5.8 cm 6.4 cm 8.9 cm 7.7 cm

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Answer:

Step-by-step explanation:

If the rectangles are similar to one another, then their sides exist in proportion to one another.  Set up a proportion with the larger rectangle on top and the smaller rectangle on bottom:

[tex]\frac{l}{s}:\frac{10}{7}=\frac{11}{x}[/tex]

Cross multiply to get

10x = 77 so

x = 7.7