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Lesson: Challenging Problem Solving - 31t03

Advanced Geometry: Multiple Figures

[Page 31 of 37]

Review the following problem and then proceed to the task below.


In the figure above, RSTU is a square with an area of 8 and JKL is an isosceles triangle. If JS = UL = 2, then what is the perimeter of the shaded figure?

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 following measurements. Enter your responses in the boxes below, and then click Continue.

What is the length of side ST ?

What is the length of side TU ?

The area of a square is equivalent to the length of its side squared. Therefore, the lengths of both ST and TU are:

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