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Lesson: Challenging Problem Solving - 36t01

Advanced Geometry: Coordinate Geometry, Continued

[Page 36 of 37]

If rectangle RSTU has an area of 60, what is the area of the shaded region?

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Consider your answers to the following questions, and then click Continue.
  1. What is the question asking us to find?
  2. What information has it provided to us?
  3. What shared feature will get us to the correct answer?
  1. What is the question asking us to find?
    • This question asks us to find the area of the shaded rectangle. In order to find the area of this region, we first need to find its length and width. We can do this if we know the coordinates of Point R.
  2. What information has it provided to us?
    • The question stem provides us with the area of rectangle RSTU. In addition, the diagram gives us the means to find the length of TU by giving us the coordinates of Points T and U.
  3. What shared feature will get us to the correct answer?
    • The smaller shaded rectangle shares Point R with RSTU. If we can determine the coordinates of Point R, we can find the area of the shaded rectangle.
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