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for a certain rectangle, the ratio of the width to the length is 1 to 2…

Question

for a certain rectangle, the ratio of the width to the length is 1 to 2. if the width of the rectangle is 87 centimeters, what is the length, in centimeters, of the rectangle

Explanation:

Step1: Set up the ratio equation

Let the width \(w = 87\) cm and the ratio of width to length \(w:l=1:2\). We can write the proportion \(\frac{w}{l}=\frac{1}{2}\).

Step2: Solve for the length \(l\)

Substitute \(w = 87\) into \(\frac{w}{l}=\frac{1}{2}\), we get \(l = 2w\). Then \(l=2\times87\).

Answer:

174