Area is given by the formula Area = length*width Filling in the given information, we have 51 = (2m+7)*(m-2) 2m² +3m -65 = 0 (m -5)(2m +13) - 0 m = -13/2 or 5 Since dimensions of physical objects are non-negative, the value of m is 5.
m = 5 because if you create an equation you get 2m^2 + 3m - 65 = 0 then you factor find the two roots and take the positive one and viola your answer is 5
