Distributive Properties of Geometric Models

Area of Garden Plots

Work Time

Area of Garden Plots

For each of these problems, write two expressions. Use your garden diagram and the distributive property to show that your expressions are equivalent.

  • If Chen gives Denzel his plot, what will the area of Denzel’s new plot be?
  • If Chen keeps his plot but Emma and Mina give Denzel their plots, what will the area of Denzel’s new plot be?
  • What is the area of the entire garden?

Hint:

  • Look at your sketch of the garden. Outline the area of Denzel’s new plot after he gets Chen’s plot. What is the length and width of Denzel’s new plot?
  • Look at your sketch of the garden. Find Denzel’s original plot. Add the areas of Emma’s and Mina’s plots. What is the length and width of Denzel’s plot now?
  • What expression represents the length of the entire garden? What expression represents the width of the entire garden?
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