The perimeter of a rectangle is 18 cm. At most what can the area of this rectangle be if the lengths of its sides are expressed in integers?

Formula for the perimeter of rectangle 2 (a + b)
18: 2 = 9 is the sum of the two sides of the rectangle
find them by brute force
then we multiply each pair and choose the largest number:
1 * 8 = 8
2 * 7 = 14
3 * 6 = 18
4 * 5 = 20
Answer: 20



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