Praxis 5003 Practice Test Practice Question
A gardener will use the preceding coordinate plane to design a new garden. The gardener will draw polygon ABCD to represent the garden. The vertices of this polygon are A(-1,-1) B(-1,3) C(4,3) and D(4,-1) Each grid unit represents one yard. What is the area of the garden?
Correct Answer: 20 square yards
Rationale: To determine the area of polygon ABCD, we can visualize it as a rectangle. The vertices A(-1,-1) and D(4,-1) indicate a horizontal length of 5 yards (from -1 to 4), while vertices A(-1,-1) and B(-1,3) show a vertical height of 4 yards (from -1 to 3). The area of a rectangle is calculated by multiplying the length by the height, resulting in 5 yards × 4 yards = 20 square yards.
Other options may suggest incorrect calculations or misunderstand the shape. For instance, if an option claims an area of 15 square yards, it likely miscalculates one of the dimensions or misinterprets the vertices. Any area less than 20 square yards would not account for the full rectangular dimensions defined by the vertices.
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