Example Problems Answers

1. Find the perimeter and area of a rectangle 18 meters long
   and 12 meters wide.    P = 2(18)+2(12) = 60 m
                                         A = (18)(2) = 216 m²

2. Find the distance between the two points: (3,-1) and (-2,4).

      d =

3. Find the midpoint between the two points: (-6,2) and (8,3).

                                m =

4. Find the hypotenuse of a triangle with sides 7 and 24.

         7² + 24² = c²     49+576 = 625    square root = 25

5. Find x if Ð1 andÐ2 are complementary and  Ð1 = 3x-4 and
    Ð2 = x + 2.    3x-4 + x+2 = 90
                          4x - 2 = 90
                            4x = 92
                              x = 23

6. Find x if Ð3 and Ð4 are supplementary and  Ð3 = 5x-8 and
    Ð4 = x + 2.    5x-8+x+2 = 180
                            6x-6 = 180
                             6x = 186
                               x = 31

7. What type of angle is an angle who measure 120 degrees?   
                        Obtuse

8. Find x If ÐABC bisects angles 1 and 2.

                                8x-2 = 6x+8
                                2x = 10
                                  x = 5