# 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?