Solve the problem.
-The area of a triangle must be at most 22 square inches, the base is 4 inches, and the height is $x$ inches. Find the possible values for $x$.
A) $\mathrm{x}

Question

Solve the problem.
-The area of a triangle must be at most 22 square inches, the base is 4 inches, and the height is $x$ inches. Find the possible values for $x$.
A) $\mathrm{x}<11$ 
B) $0<\mathrm{x} \leq 11$ 
C) $0<\mathrm{x} \leq 5.5$

Quizplus · Accepted Answer

The area of a triangle is given by the formula $ \frac{1}{2} \times \text{base} \times \text{height} $. Substituting the given values, we get $ \frac{1}{2} \times 4 \times x \leq 22 $, which simplifies to $ 2x \leq 22 $ or $ x \leq 11 $. Since $ x $ represents the height of a triangle, it must be greater than 0, thus $ 0 < x \leq 11 $.

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