Answer :
Answer:
The length of a side can be 3·√42 ft long
Step-by-step explanation:
The question is a word problem regarding the formula for the area of a square
The parameters given are;
Available concrete = Enough to pave 378 ft.²
Shape of patio Vince wants to make = Square
Therefore, the dimensions of the sides, s, of a square patio that has an area of 378 ft.² is found as follows;
s² = 378
Therefore, s = √378 = √(9 × 42) = 3·√42 ft
Hence, the length of a side can be 3·√42 ft long.
Vince wants to make a square patio in his yard.
Side length of the patio is [tex]3\sqrt{42}[/tex] feet
Given :
Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 378 square feet
the area of the square = side ^2
Area of the square patio is 378 square feet
Now we make the area equal and solve for the side length
Lets 's' be the side of the square
[tex]s^2=378[/tex]
Take square root on both sides
[tex]s=\sqrt{378}\\s=\sqrt{2\cdot \:3^2\cdot \:3\cdot \:7} \\s=\sqrt{3^2}\sqrt{2\cdot \:3\cdot \:7}\\s=3\sqrt{42}[/tex]
The side length of his patio is [tex]3\sqrt{42}[/tex] feet long
Learn more : brainly.com/question/22201778