SOLUTION: William currently has a backyard square blue slate patio he is re-designing his patio and making it into a larger rectangle with a link that is 5 feet shorter than three times it�

Question 1167762: William currently has a backyard square blue slate patio he is re-designing his patio and making it into a larger rectangle with a link that is 5 feet shorter than three times it’s width. Side X one of the original sides of look square is an integer. William decides that the perimeter should be no less than 80 feet.
a) Write an inequality to model the situation and solve it
b) what could be the smallest dimensions of the original square
c) using your answer to part B determine the least area and square feet of his new patio
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
width is x
length is 3x-5
perimeter is twice their sum, 4x-5, or 8x-10
8x-10>=80
8x >=90
x>=11.25 or 12 to the next highest integer
square was 12 ft x 12 ft as smallest dimension
the rectangle is 12 ft x 31 ft (at least) or 372 ft^2 (at least).

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