Problem 5.2

1
Problem 5.2

• In A-E, make your drawings on centimeter grid
  paper.

2
Part A

• Draw a rectangle with an area of 18 cm2. Then
  try to draw a different rectangle with an area of
  18 cm2. Do the rectangles have the same
  perimeter? If you couldnt draw a different
  rectangle, explain why.

3
Part B

• Draw a rectangle with the dimensions 3 cm by 8
  cm. Then try to draw a different rectangle with
  these same dimensions. Do the rectangles have
  the same area? If you couldnt draw a different
  rectangle, explain why.

4
Part C

• Draw a parallelogram with a base of 7 cm and a
  height of 4 cm. Then try to draw a different
  parallelogram with these same dimensions. Do the
  parallelograms have the same area? If you
  couldnt draw a different parallelogram, explain
  why.

5
Part D

• Draw a parallelogram with all side lengths equal
  to 6 cm. Then try to draw a different
  parallelogram with all side lengths equal to 6
  cm. Do the parallelograms have the same area?
  If you couldnt draw a different parallelogram,
  explain why.

6
Part E

• Draw a parallelogram with an area of 30 cm2.
  Then try to draw a different parallelogram with
  the same area. Do the parallelograms have the
  same perimeter? If you couldnt draw a different
  parallelogram, explain why.

7
Follow-up

• Summarize what you have discovered from making
  parallelograms that fit given constraints.
  Include your feelings about what kinds of
  constraints make designing a parallelogram easy
  and what kinds of constraints make designing a
  parallelogram difficult.
• Have you discovered any shortcuts for finding
  area of parallelograms? If so, describe them.