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.

a. 6.4 cm

b. 5.8 cm

c. 8.9 cm

d. 7.7 cm

L = 11 cm

W = 10 cm

L' = ?

W' = 7 cm

Since the two triangles are similar

L/L' = W/W'

11/L' = 10/7

10L' = 11*7

10L' = 77

L' = 77/10

L' = 7.7 cm

So length of the second rectangle is 7.7 cm.

ANSWER: d) 7.7 cm

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