# GEOM 1 | Lesson 4 | Making Connections Solutions

Some possible designs

If you select a square as a shape of the garden then the dimension are 6 by 6.

The volume of the dirt would be $$18 m^3$$.   You can determine the cost using what you researched.

The perimeter of the garden is 24 m.  The area of the wall is $$12m^2$$.

If you selected a circle, the volume of dirt is the same approximately.

The radius is:  $$\sqrt{\dfrac{36}{π}}$$ or approximately $$3.38 m$$

The perimeter of the circular garden is approximately  $$21.24 m$$, so the area of the wall is approximately $$10.62 m^2$$.

There could be a design a regular hexagon or an L-shaped with say one piece of has an area of 24 and the other part an area of 12.