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the length of a rectangle is three times the width. Determine the dimensions that will give a total area of 27 meters

User Yuta
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5 votes

Answer:

A width of 3 and a length of 9

Explanation:

To solve this problem, we're going to have to create an equation. So, let's call the width w. The length of the rectangle is three times the width, so the length will be 3w. The total area is 27, and the length times the width must equal the area, so this gives us the following equation:

w(3w) = 27

Let's simplify and start solving.

3w² = 27

3w²/3 = 27/3

w² = 9

√w² = √9

w = 3

Remember, we defined w as the width. So, the width of the rectangle is 3. The length is 3w, or three times the width, so the length must be 9. And these are our dimensions: 3 × 9.

User Ntkachov
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