Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and

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Mathematics

Description

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

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Explanation & Answer

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


Anonymous
Awesome! Perfect study aid.

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