1. Applications of Geometry Example 1: The perimeter of a rectangular play area is 336 feet. The length is 12 feet more than the width. Determine the dimensions of the area. 1) Variable declaration: The length is given in terms of the width. Let the width be w. The length is 12 feet more than the width.

2. 2) Write the equation: The perimeter of a rectangular play area is 336 feet. The length is 12 feet more than the width. Determine the dimensions of the area. Perimeter of Rectangle P = 2l + 2w Perimeter of Rectangle P = 2l + 2w

3. The perimeter of a rectangular play area is 336 feet. The length is 12 feet more than the width. Determine the dimensions of the area. 3) Solve the equation:

4. The perimeter of a rectangular play area is 336 feet. The length is 12 feet more than the width. Determine the dimensions of the area. 4) Write an answer in words, explaining the meaning in light of the application The play area is 78 feet by 90 feet. The play area is 78 feet by 90 feet.

5. Example 2: Two angles are supplementary, and the larger angle is 10 degrees less than three times the smaller. Find the larger angle. Review Applications of Geometry Complementary angles: Supplementary angles: Complementary angles: Supplementary angles:

6. Two angles are supplementary, and the larger angle is 10 degrees less than three times the smaller. Find the larger angle. 1) Variable declaration: Note that the larger angle is given in terms of the smaller angle. Let x be the measure of the smaller angle. The larger angle is 10 degrees less than three times the smaller

7. Two angles are supplementary, and the larger angle is 10 degrees less than three times the smaller. Find the larger angle. Supplementary angles: 2) Write the equation:

8. 3) Solve the equation: Two angles are supplementary, and the larger angle is 10 degrees less than three times the smaller. Find the larger angle.

9. 4) Write an answer in words, explaining the meaning in light of the application Two angles are supplementary, and the larger angle is 10 degrees less than three times the smaller. Find the larger angle. Smaller angle: Larger angle: Smaller angle: Larger angle:

10. Two angles are supplementary, and the larger angle is 10 degrees less than three times the smaller. Find the larger angle. The larger angle is 132.5 degrees.

11. Example 3: Consider the three angles of a particular triangle. The second angle is 5 times the first, and the third angle is 12 degrees less than twice the first. Find the angles. Review Applications of Geometry The sum of the three angles of a triangle is 180 degrees.

12. 1) Variable declaration: Note that all angles are given in terms of the “first” angle. Let x be the measure of the first angle. The second angle is 5 times the first. Consider the three angles of a particular triangle. The second angle is 5 times the first, and the third angle is 12 degrees less than twice the first. Find the angles. The third angle is 12 degrees less than twice the first.

13. Consider the three angles of a particular triangle. The second angle is 5 times the first, and the third angle is 12 degrees less than twice the first. Find the angles. 2) Write the equation:

14. 3) Solve the equation: Consider the three angles of a particular triangle. The second angle is 5 times the first, and the third angle is 12 degrees less than twice the first. Find the angles.

15. 4) Write an answer in words, explaining the meaning in light of the application Consider the three angles of a particular triangle. The second angle is 5 times the first, and the third angle is 12 degrees less than twice the first. Find the angles. 1 st angle is 24 degrees 2 nd angle is 120 degrees 3 rd angle is 36 degrees 1 st angle is 24 degrees 2 nd angle is 120 degrees 3 rd angle is 36 degrees