Exercises II / 2.1
  1. Perform the following (unit Area) conversions:
    1. 1 square foot  to  square inches.
    2. 1 square inch  to  square centimeters.


  2. Perform the following (unit Area) conversions:
    1. 1 square inch  to  square millimeters.
    2. 1 square meter  to  square feet.

  3. Hectare illustration: Problem #3 (link: Special Task #05) A hectare (ha) is a metric unit of Area, defined as a square hectometer (hm) or 10,000 m².  How many hectares (ha) are equal to a square kilometer (i.e., 1 km²)?

    Pentagon illustration: Exercises 4, 5 & 6
  4. Determine the Perimeter for the pentagon shown in the illustration.  State the answer in feet. 
  5. Determine the height of the pentagon shown in the illustration.  
  6. Determine the Area for the pentagon shown in the illustration.  

  7. The first triangle in the illustration (shown below) has dimensions where the height is h1 = 2' and the length of the base is b1 = 5', so that its Area is A1 = 5 ft².  A second triangle is formed such that both dimensions are "doubled" (i.e., h2 = 4' and b2 = 10' ) as illustrated...
    2 Triangle illustration: Exercise 7
    1. Find the Area of the second triangle:  A2 = _______
    2. By what factor did the Area change (when both dimensions were doubled)?
    3. Express the answer from part "b" (above), by completing the following equation:
      A2  =  ___ × A1

  8. 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

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

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