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Question
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.
Step1: Find side length of square
Area of square = side². So side = √100 = 10 feet.
Step2: Evaluate Lucas's claim
Height is a length, can't be negative. So -10 is invalid.
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10 feet
No, because the mural can't be -10 feet high.