A trapezoid with area 417/16 has three of its sides on the x -axis, the line x=3 , and the line x=6 . The fourth side is contained in the line y=mx+5/2 . The value of m can be written as a/b where a and b are coprime positive integers. Find a+b .

Question

A trapezoid with area 417/16    has three of its sides on the x -axis, the line x=3 , and the line x=6 . The fourth side is contained in the line y=mx+5/2   . The value of m  can be written as a/b    where a  and b  are coprime positive integers. Find a+b .

ddcamp · Answer

Height is 3, base 1 is 3m+5/2, and base 2 is 6m+5/2
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