The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table
Solution:
Given that concrete patio is [tex]5\frac{2}{3}[/tex] feet wide
Area of concrete patio = [tex]36\frac{2}{3}[/tex] square feet
Therefore,
[tex]\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet\\\\\text{Area of concrete patio = }36\frac{2}{3}=\frac{36\times 3+2}{3}=\frac{110}{3}feet^2[/tex]
Let us find the length of concrete patio
Concrete patio is usually of shape rectangle
Area of concrete patio = length x width
[tex]\frac{110}{3} = length \times \frac{17}{3}\\\\length = \frac{110}{3} \times \frac{3}{17}\\\\length = \frac{110}{17} = 6.4705 \approx 6.5[/tex]
Therefore length of concrete patio is 6.5 feet
So it cannot fit the 7 foot picnic table. Since the length of concrete patio is 6.5 feet which is less than given 7 foot picnic table
