Set 5: Quadratic Equations

Explanation

Answer: A

A rectangle has length $x$ and width $10 -x$ . What is the maximum possible area?

✓ Correct

100

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Area Function: $A(x) = x(10-x) = -x^2 + 10 x$ . 2. Maximize: Vertex $x = -10 / -2 = 5$ . 3. Calculate Area: $A(5) = 5(5) = 25$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 25

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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