Lesson: Challenging Problem Solving - 36t03

Advanced Geometry: Coordinate Geometry, Continued

If rectangle RSTU has an area of 60, what is the area of the shaded region? 6

8 9 10 12

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 =

UT is equivalent to the absolute difference between Points U and T and the y-axis. We can determine this distance by subtracting the y coordinates: 5 – (–7) = 5 + 7 = 12.

Since UL is 12 and the area of RSTU is 60, then RU must be 5:

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