Question

A concrete patio is 5 2/3 feet wide . It has an area of 36 5/6 square feet.

Answer 1

Answer:

The length of  concrete patio is 6.5 feet, so it cannot  fit a 7-foot picnic table.

Step-by-step explanation:

A concrete patio is 5 2/3 feet wide . It has an area of 36 5/6 square feet.

$\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet$

$\texttt{Area of concrete patio = }36\frac{5}{6}=\frac{36\times 6+5}{6}=\frac{221}{6}feet^2$

Area of rectangle = length x width

We have

          $\frac{221}{6}=\texttt{Length}\times \frac{17}{3}\\\\\texttt{Length}=\frac{221}{6}\times \frac{3}{17}=\frac{13}{2}=6.5feet$

The length of  concrete patio is 6.5 feet, so it cannot  fit a 7-foot picnic table.

Answer 2

The concrete slab is big enough to fit the table. if the area is 36 5/6 square feet and 5 2/3 wide you can place the seven foot table length ways and it will still fit