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Federal Way Public Schools  
Algebraic Sense
Lesson 21
Evaluation and Solving
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 > Reflection

Example 3:

In the corner of Mike's backyard, he needs to build a dog pen. The back corner of the pen is a right angle. The base or front of the pen is 18 feet long and the distance from the front of the pen to the back corner is 10 feet. Mike's wife wants to make sure the dog has plenty of room to run around in the pen.

  • Using the formula below to find the area of a triangle, where b, the base, is 18 feet and h, the distance from the front of the pen to the corner, is 10 feet, how much area will the dog have to run around in?

A = 1/2 * bh

  1. 180 feet squared
  2. 100 feet squared
  3. 90 feet squared
  4. 80 feet squared

To find the correct answer to this problem you need to substitute the correct values into the given area formula for a triangle and solve.

Begin by substituting the values for b and h.

  • A = 1/2 * 18 * 10
  • A = 1/2 * 180
  • A = 90 feet squared

Using substitution, you found the area of the triangular pen to be 90 feet squared. This is letter C, so you are all finished with this one!

Example 4>>

 

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