If a rectangle has length 3x and width x and 3x^2 = 75, find x.

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Multiple Choice

If a rectangle has length 3x and width x and 3x^2 = 75, find x.

Explanation:
Solving for x starts with isolating x^2. From 3x^2 = 75, divide both sides by 3 to get x^2 = 25. Taking square roots gives x = 5 or x = -5. Since a rectangle’s dimensions must be positive, you take the positive root. So x = 5. The rectangle’s dimensions would be length 3x = 15 and width x = 5.

Solving for x starts with isolating x^2. From 3x^2 = 75, divide both sides by 3 to get x^2 = 25. Taking square roots gives x = 5 or x = -5. Since a rectangle’s dimensions must be positive, you take the positive root. So x = 5. The rectangle’s dimensions would be length 3x = 15 and width x = 5.

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