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The ratio of a rectangle's length/width = 7/5. If the length of the rectangle is 30 in, what's the width?

A) 21 in
B) 25 in
C) 18 in
D) 15 in

1 Answer

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Final answer:

The width of the rectangle is found by setting up a proportion based on the given length-to-width ratio and the actual length. Solving the proportion using cross-multiplication gives us the width, which is 21 inches.

Step-by-step explanation:

The question asks us to find the width of a rectangle given that the ratio of the rectangle's length to width is 7/5 and that the length is 30 inches. To find the width, we set up a proportion where the length of the rectangle is proportional to 7 units, and the width is proportional to 5 units. Since we know the length (30 inches), we can write this as:

Length: 7/5 = 30/Width

Now, we solve for the Width:

7/Width = 30/5

7/Width = 6

Width = 7/6

Width = 21 inches

Therefore, the width of the rectangle is 21 inches, which corresponds to option A).

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