SOLUTION: Two rectangles are similar. One has a length of 13 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 i

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Two rectangles are similar. One has a length of 13 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 i      Log On

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Question 224300: Two rectangles are similar. One has a length of 13 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.
Answer by drj(1380) About Me  (Show Source):
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Two rectangles are similar. One has a length of 13 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.

Step 1. Two rectangles are similar when the sides are in the same proportion.

Step 2. That is, Length%2FWidth=13%2F10=L%2F7 where L is the length of the second rectangle

Step 3. Solving for L by multiplying 7 to both sides of the equation in Step 2 yields L=13%2A7%2F10=5.10 cm

Step 4. ANSWER: The length of the second rectangle is 5.10 cm.

I hope the above steps were helpful.

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Respectfully,
Dr J

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