Example Problems Answers

 


 

   h2 + 82 = 172   then h = 15                               
    Area = (1/2)(15)(12+28)
           A = 300 in2
Perimeter = 12+17+17+28 = 74 in		 Area of the rectangle = (32)(18) = 576
Area of the circle = (3.14)(52) = 78.5
Area of shaded is 576 - 78.5 = 497.5 m2


3. Find the sum of the measure of the interior angles of a
    pentagon.    180(5-3) = 360
4. How many sides does a polygon have if the exterior angle
    measures 20?    360/20 = 18
5. Find the area of a rhombus with diagonals 15 in and 17 in.
                        (1/2)(15)(17) = 127.5 in2
6. Find the area of a circle with diameter of 16 ft.
                        (3.14)(82) = 200.96 ft2
7. Find the circumference of a circle with radius of 22 m.
                        2(3.14)(22) = 138.16 m2
8. Find the number of sides of a polygon if the interior angle
    measures 165.        180 - 165 = 15 (exterior angle)
                                  360/15 = 24 
9. Find the area of a triangle with base 8 in and height 12 in.
                        (1/2)(8)(12) = 48 in2
10. Find the area of an equilateral triangle with sides 10 in.
                        height  = h2 + 52 = 102   h = 8.66
                        Area = (1/2)(8.66)(10) = 43.3 in2