book Maths Puzzle Numerical Ability

A rectangular playground is being constructed using a barn as one side and 80 meters of fencing to form the other three sides. What is the maximum area of such an enclosure?

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book Other Question
1/2+2/3(x+y)+y graph the solution set of the system of inequalities:
{x^2 + y less than or equal to 25}
{y less than or equal to x^2 + 2}

i get as far as y=mx+b
y=-x^2+25
y=x^2+2