The length and width of a rectangle are prime numbers, and the perimeter is 36cm. What is the maximum area of the rectangle?

Let the length of the rectangle be a and the width b, then,
2(a+b)=36
a+b=18
Because a and B are prime numbers
yes:
a=5,b=13
Or a = 7, B = 11
Or a, B exchange
So its area is ab = 5 * 13 = 65
Or AB = 7 * 11 = 77
And 77 > 65
So its area can be up to 77 units

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