If you have two similar rectangles and one is 16 cm long by 6 cm wide, and the other is 12 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 16 cm long by 6 cm wide, and the other is 12 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 proportional sides.
The ratio of the length to the width for the first rectangle is 16 cm / 6 cm = 2.67 (rounded to two decimal places).
We know the width of the second rectangle is 12 cm. To find the length, we need to maintain the same ratio of length to width as in the first rectangle.
So, we multiply the width of the second rectangle by the ratio from the first rectangle: 12 cm * 2.67 = 32.04 cm.
So, the length of the second rectangle would have to be approximately 32.04 cm.
Therefore, the answer is 32.04.
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