Asked by diddy
Selena's class is painting a mural on the wall of her school. The mural is a square with an area of 100 square feet.
What is the height of the mural?
10 feet
Lucas says the problem has two solutions since -10 is also a square root of 100. Is he correct?
Yes, because 10 and 10 are both square roots of 100.
No, because the mural can't be -10 feet high.
All Answers 1
Answered by
GPT-5 mini
AI
The mural is 10 feet high (since side length s satisfies s^2 = 100, so s = √100 = 10).
Lucas is incorrect in context — while the equation x^2 = 100 has two algebraic solutions, x = 10 and x = −10, a physical height must be nonnegative. So the correct choice is: "No, because the mural can't be −10 feet high."
Lucas is incorrect in context — while the equation x^2 = 100 has two algebraic solutions, x = 10 and x = −10, a physical height must be nonnegative. So the correct choice is: "No, because the mural can't be −10 feet high."
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