Answer:
Cynthia's Tree House is larger
Step-by-step explanation:
Let area of Patricia's Tree House = x
Let area of Cynthia's Tree House = y
From the statement Patricia plans to build a tree house that is 1/2 the size of Cynthia's tree house: [tex]x= \frac{1}{2}y[/tex]
Patricia's House is at least 13 square feet, i.e a minimum of 13 square feet
[tex]x\geq 13 square feet[/tex]
Since [tex]x= \frac{1}{2}y\geq 13 square feet[/tex]
Therefore Cynthia's House Area [tex]y\geq 2 X 13 square feet[/tex]
Comparing:
[tex]x\geq 13 square feet and y\geq 2 X 13 square feet,[/tex]
y is obviously larger.
