1.Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 378 square feet. How long can a side of his patio be

Vince wants to make a square patio in his yard.

Side length of the patio is 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

Take square root on both sides

The side length of his patio is feet long

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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.