ProblemSolving Plan:

1
Unit 1
1-6 A Plan for Problem Solving
Problem-Solving Plan

• EXPLORE THE PROBLEM- What are we given? What
  are we looking for?

2. PLAN THE SOLUTION- How are the given and
the unknown related? What formulas/facts do we
have to prove with this?
3. SOLVE THE PROBLEM- Use the formulas/facts
to find a solution.
4. EXAMINE THE SOLUTION- Did you answer the
question thoroughly? Does the solution make
sense? Are there mistakes in your calculations?
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Unit 1
1-6 A Plan for Problem Solving
Area of a Rectangle
A lw Area (length)(width)
Perimeter of a Rectangle
P 2l 2w Perimeter 2(length) 2(width)
Area of a Parallelogram
A bh Area (base)(height)
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Unit 1
1-6 A Plan for Problem Solving
Example 1
Find the missing measure of the rectangle.
P 65, l 18, w ?
P 2l 2w Perimeter 2(length) 2(width)
65 2(18) 2w
65 36 2w
29 2w
14.5 w
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Unit 1
1-6 A Plan for Problem Solving
Example 2
Find the maximum area, given perimeter of a
rectangle is 36 yards. State the length and
width of the rectangle.
81 80 77 72
Answer L 9 yd. W 9 yd.
P 2l 2w Perimeter 2(length) 2(width)
Half of the Perimeter length width
65 56 45 32
Half of 36 length width
18 length width
What possible number combinations have a sum of
9?
To maximize the area of a rectangle, create a
perfect square.
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