If you have two similar rectangles and one is 24 cm long by 18 cm wide, and the other is 6 cm wide, how long would it have to be?(Enter only the number with no units in the blank.)
Question
If you have two similar rectangles and one is 24 cm long by 18 cm wide, and the other is 6 cm wide, how long would it have to be?(Enter only the number with no units in the blank.)
Solution
First, we need to understand that similar rectangles have the same shape, but not necessarily the same size. This means that the ratio of corresponding sides is the same.
In this case, we have two rectangles. The first one is 24 cm long and 18 cm wide. The second one is 6 cm wide, and we need to find its length.
The ratio of the length to the width for the first rectangle is 24 cm / 18 cm = 1.33 (rounded to two decimal places).
Since the rectangles are similar, the ratio for the second rectangle should be the same. So, if we let L be the length of the second rectangle, we have:
L / 6 cm = 1.33
Solving for L gives us:
L = 1.33 * 6 cm = 7.98 cm
So, the length of the second rectangle would have to be approximately 8 cm.
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