We will call:

: The larger square garden.

: The smaller square garden.
Given that both of then have square areas, then:


Being

the side of the larger garden and

the side of the smaller garden as shown in the figure.
<span>The larger square garden at Volterra Hall has sides twice as long as the smaller square garden, thus:
</span>

<span>Together the gardens cover 18,000 square feet, so:
</span>

Then:







Therefore:
Each side of the larger square garden is

and each side of the smaller one is

each. These are the dimensions.