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The area of a rectangle is 300 square meters, and its length is 3 times its width. How many meters wide is the rectangle?

A. 7
B. 5
C. 8
D. 9

User Danial
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1 Answer

6 votes

Final answer:

To find the width of the rectangle when the area is 300 square meters and the length is 3 times the width, you set up an equation using the area formula. Solving for w, we find that the width should be 10 meters, which is not listed in the given options.

Step-by-step explanation:

The area of a rectangle is found by multiplying the length by the width. Since we know the area is 300 square meters and that the length is 3 times the width, we can set up the equation as follows: Length × Width = Area, which translates to 3w × w = 300. Solving this equation, we get w^2 = 100, therefore the width w = 10. Since 10 is not given as an option, it appears there may have been a mistake in the provided options or in the understanding of the question.

To find the width of the rectangle, we can use the formula for the area of a rectangle: length * width = area. Given that the area is 300 square meters and the length is 3 times the width, we can set up the equation 3w * w = 300, where w represents the width. Simplifying, we get 3w^2 = 300. Dividing both sides by 3, we have w^2 = 100. Taking the square root of both sides, we find w = 10. Therefore, the rectangle is 10 meters wide.

User Antonio Val
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