Question

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

Is the concrete slab long enough to fit a 7-foot picnic table? Explain

Answer 1

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

Answer 2

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

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(2)/(3)=(5* 3+2)/(3)=(17)/(3)feet`

`\texttt{Area of concrete patio = }36(5)/(6)=(36* 6+5)/(6)=(221)/(6)feet^2`

Area of rectangle = length x width

We have

`(221)/(6)=\texttt{Length}* (17)/(3)\\\\\texttt{Length}=(221)/(6)* (3)/(17)=(13)/(2)=6.5feet`

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