Question: Find the maximum area of a rectangle that is inside of the triangle forms by the x-axis and the lines y = 3x +12 and

Find the maximum area of a rectangle that is inside of the triangle forms by the x-axis and the lines y = 3x +12 and y = 3x +12. The base of the triangle is on the x-axis and the two upper vertices are on the lines y = 3x+12 and y = 3x+12 as shown in the illustration. (a) 30 (b) 24 (c) 18 (d) 12 (e) 9

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