Distributive Properties of Geometric Models

Garden Plots

Work Time

Garden Plots

Six students have garden plots of various sizes in a garden. All the plots are rectangles and the garden itself is a rectangle.

Denzel’s plot has an area of bc.

Mina’s plot has an area of be.

Jason’s plot has an area of ad.

Rosa’s plot has an area of ae.

Chen’s plot has an area of ac.

Emma’s plot has an area of bd.

  • Make a sketch showing how the garden might be divided. Label each plot with the name of the student who is in charge of the plot, followed by the area of the plot.

Hint:

  • Start by drawing Denzel’s garden plot. Label the length b and the width c.
  • Whose plot can you draw next to his?