16Hit1600
AlgebraVery hardArea of a region defined by three inequalities

Algebra practice question

In the xy-plane, the region satisfying y ≥ 2x − 4, y ≤ 4, and x ≥ 0 is a triangle. What is its area?

Answer: 16

The vertices are (0, −4), (0, 4), and (4, 4). The vertical side has length 8 and the horizontal side has length 4, so the area is (1/2)(8)(4) = 16.

Common wrong answers

If you answered 8
8 uses a base of 4 and a height of 4.
If you answered 12
12 uses a height of 3.
If you answered 32
32 forgets the half.

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