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Lesson: Challenging Problem Solving - 36t07

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?
Use the information provided in the question stem to determine the length and width of rectangle RSTU.
Length of UT =
Length of RU =
Now use the dimensions of rectangle RSTU to find the coordinates of Point R.
Coordinates of Point R:
Use the coordinates of Point R to determine the area of the shaded region. Select the correct answer and then click Continue.

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

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Point R is 2 units to the left of the y-axis and 5 units above the x-axis. Therefore, the area of the shaded rectangle is 2 5 = 10. Choice (D) is correct.
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