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Rectangle Perimeter and Area Example by Walch Education

Rectangle Perimeter and Area Example by Walch Education
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2015-07-09 20:41
Geometric Construction
In collections CCSS Support Algebra I Unit 1 CCSS Support Math I Unit 1
This example demonstrates calculating the perimeter and area of a rectangle with length 7 cm and width 6 cm. The key mathematical concepts involve the formulas for rectangle area and perimeter. Construction points include using GeoGebra commands such as Corner, TableText, length, width, area, and perimeter to create the figure and compute results. Suitable for middle school mathematics to understand basic geometric calculations and properties.

GeoGebra Commands & Parameters

  1. LaTeX(steps) → counter
  2. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
  3. Corner(1) → A
  4. Corner(3) → B
  5. LaTeX((((("\text{length of }\textcolor{#000099}{" * length) * "\text{ centimeters}}\text{; width of }\textcolor{#000099}{") * width) * "\text{ centimeters}}")) → Problem
  6. LaTeX("\text{State the expressions used to find the perimeter and area of a rectangle.}") → text1
  7. LaTeX("\text{The perimeter of a rectangle is found using the expression }\textcolor{#000099}{2L + 2W}.") → text2
  8. LaTeX("\text{The area of a rectangle is found using the expression }\textcolor{#000099}{LW}.") → text3
  9. LaTeX((((("\text{Evaluate the expression for perimeter using }\textcolor{#000099}{L = " * length) * "}\text{ and }\textcolor{#000099}{W = ") * width) * "}.")) → text4
  10. LaTeX((("\text{The perimeter of the rectangle is }\textcolor{#000099}{" * perimeter) * "\text{ centimeters}}.")) → text10
  11. LaTeX((((("\text{Evaluate the expression for area using }\textcolor{#000099}{L = " * length) * "}\text{ and }\textcolor{#000099}{W = ") * width) * "}.")) → text11
  12. LaTeX("\text{Substitute the value of each variable into the expression. }\cr\text{Then, simplify the expression using the order of operations.}") → text5
  13. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}}, "l") → text6
  14. LaTeX("\text{Substitute the value of each variable into the expression. }\cr\text{Then, simplify the expression using the order of operations.}") → text12
  15. TableText({{LaTeX["\textcolor{#000099}{LW}"], LaTeX["\text{Expression representing area}"]}}, "l") → text13
  16. TableText({{LaTeX["\textcolor{#000099}{LW}"], LaTeX["\text{Expression representing area}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{(" * length) * ")(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}}, "l") → text14
  17. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{2(" * length) * ") + 2(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}}, "l") → text7
  18. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{2(" * length) * ") + 2(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}, {LaTeX[(((("\text{= }\textcolor{#000099}{" * twoL) * " + ") * twoW) * "}")], LaTeX["\text{Multiply.}"]}}, "l") → text8
  19. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{2(" * length) * ") + 2(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}, {LaTeX[(((("\text{= }\textcolor{#000099}{" * twoL) * " + ") * twoW) * "}")], LaTeX["\text{Multiply.}"]}, {LaTeX[(("\text{= }\textcolor{#000099}{" * perimeter) * "}")], LaTeX["\text{Add.}"]}}, "l") → text9
  20. LaTeX("\text{Move the slider to solve the problem.}") → text0
  21. TableText({{LaTeX["\textcolor{#000099}{LW}"], LaTeX["\text{Expression representing area}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{(" * length) * ")(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}, {LaTeX[(("\text{= }\textcolor{#000099}{" * area) * "}")], LaTeX["\text{Multiply.}"]}}, "l") → text15
  22. LaTeX((((("\text{The area of the rectangle is }\textcolor{#000099}{" * area) * "\text{ square centimeters}}\text{ or }\textcolor{#000099}{") * area) * " \text{ cm^2}}.")) → text16