The width of a picnic table is 3 times its length. If the length is 5/6 yd long, what is the area of the picnic table in square feet?

Respuesta :

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]