1. For a right triangle where a = 12 cm and b = 16 cm, find the:
    1. length of side c.
    2. Perimeter of the triangle.
    3. Area of the triangle.

     
  2. For a right triangle where a = 90 mm and c = 150 mm, find the:
    1. length of side b.
    2. Perimeter of the triangle.
    3. Area of the triangle.

     
  3. For a right triangle where b = 1 in and c = 2 in, find the:
    1. length of side a.
    2. Perimeter of the triangle.
    3. Area of the triangle.

     
  4. For an equilateral triangle (i.e., all three sides are the same length) with sides of 2" each, find the:
    1. height (a.k.a. the altitude) of the triangle.
    2. Area of the triangle.
    3. Area of the triangle, using a second method (different than part b).

     
  5. Find the Area of an isosceles triangle whose three sides measure 5 inches, 5 inches, and 6 inches.

     

  6.  
    For a trapezoid where b1 = 12 m, b2 = 8 m and h = 10 m, find the Area of the trapezoid.
  7. Trapezoid: Problems #7 and #8 For the trapezoid in the illustration, at right, find its Area.

     
  8. For the trapezoid in the illustration, at right, find its perimeter.
    Hint:  the trapezoid can be considered a composite figure consisting of a rectangle connected atop a (right) triangle...

     
  9. A circle has a diameter of 10 / in.  Find the circle's: 
    1. Circumference Composite Figure: Problem #10
    2. Area

     
  10. For the composite figure in the
    illustration, at right, find the:
    1. distance around the figure.
    2. Area.

     
  11. Perform the following conversions:
    1. 1 square foot  to  square inches.
    2. 1 square inch  to  square centimeters.
    3. 1 square inch  to  square millimeters.
    4. 1 square meter  to  square feet.

     

  12.  
    Hectare Figure: Problem #12 A hectare (ha) is a metric unit of area, defined as a square hectometer (hm) or 10,000 m2.  How many hectares are there in one square mile?
    Washer Figure: Problem #13


     
  13. Find the Area of the washer (i.e.,
    the shaded portion of the figure)
    in the illustration, at right.



     
  14. If you double both the length and the width
    of a rectangle, by what factor does each of the following change:
        a.  Perimeter               b.  Area

     
  15. If you double the radius of a circle, by what factor does each of the following change:
        a.  Circumference               b.  Area

     
  16. If you triple the radius of a circle, by what factor does each of the following change:
        a.  Circumference               b.  Area

Show Answers