Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 130 square feet. How long can a side of his patio be?

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Answer 1 · 2018-06-17T16:52:44

#color(blue)(1.4 " feet")#

A square with sides #bba# has an area given by:

#"Area"=a^2#

We have an area of 130 #"ft"^2#

So:

#a^2=130#

Taking the square root of both sodes:

#sqrt(a^2)=sqrt(130)#

#a=+-sqrt(130)~~+-11.40175425#

We ignore the negative result. We can't have negative length.

So the lengths of the sides of the square are:

#11.4 " feet"# to 1 decimal place.