Lesson: Challenging Problem Solving - 36t05

Advanced Geometry: Coordinate Geometry, Continued

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.

What is the question asking us to find? What information has it provided to us? 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:

RU is equal to the distance between Points R and U on the x-axis. This distance is equivalent to the difference between the x-coordinates of the two points. RU is 5, so we can find the coordinates of Point R as follows:

Point R has the same y-coordinate as Point U, so Point R has the coordinates (-2, 5).

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