Kenneth S. answered • 04/29/16
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sketch this by first graphing the four points. You'll see that two vertices have the same x coordinate, -2 and their y values are 5 and -4, meaning that one (vertical) side has length 9 (5 - (-4)). Similarly, the other two vertices have the same x coordinate, 3, and so the horizontal side has length 5 (3 - (-2)).
Area = 5 times 9 = 45 square units.
Kenneth S.
I comment on Rolando's Comment. One picture is worth a thousand words. I suggested that the rectangle be graphed. Visualization is a very powerful aspect of problem solving. One can actually COUNT how many steps, or units, from one vertex to another, when the rectangle's sides are parallel to the axes.
I expect every student to THINK while working a problem. Thinking, combined with the graph, and with the FREE professional advice I gave, still leaves some responsibility on the student, WHICH IS AS IT SHOULD BE.
I would imagine that the teacher had mentioned the distance formula, but obviously this student did not perceive it as a useful tool, so I provided a more straightforward method. In general, anything related to Geometry should involve a diagram, figure, or the like, as a vehicle upon which to focus.
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04/30/16
Rolando S.
04/30/16