SOLUTION: A rectangular concrete patio has a perimeter of 38 meters and an area of 90 square meters. What are the dimensions of the patio?

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Question 1206183: A rectangular concrete patio has a perimeter of 38 meters and an area of 90 square meters. What are the dimensions of the patio?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
dimension x and y

system%28xy=90%2Cx%2By=38%2F2=19%29

Factors of 90?
3%2A30
5%2A18
6%2A15
highlight_green%289%2A10%29

x%2819-x%29=90
-
19x-x%5E2=90
x%5E2-19x%2B90=0
x=%2819%2B-+sqrt%2819%5E2-4%2A90%29%29%2F2
x=%2819%2B-+sqrt%281%29%29%2F2
x=%2819%2B-+1%29%2F2
system%28highlight%28x=9%29%2Cand%2Chighlight%28y=10%29%29