Answer:
The area of the picnic table is [tex]18.75\ ft^{2}[/tex] or [tex]18\frac{3}{4}\ ft^{2}[/tex]
Step-by-step explanation:
we know that
[tex]1\ yd= 3\ ft[/tex]
Let
L-----> the length of the table
W----> the width of the table
the area of the table is
[tex]A=LW[/tex]
Convert yards to feet
[tex]L=\frac{5}{6}\ yd=\frac{5}{6}*3=\frac{5}{2}\ ft[/tex]
[tex]W=3L[/tex]
[tex]W=3(\frac{5}{2})=\frac{15}{2}\ ft[/tex]
substitute in the formula
[tex]A=\frac{5}{2}(\frac{15}{2})=\frac{75}{4}=18.75\ ft^{2}[/tex]