Two square plots of land contains 74square feet. If the side of one plot is 2 feet longer than the side of other plot, find the dimension of both plots

Answer: The area of other plot = s² = 5² = 25  sq feet The area of one plot = ( 5 + 2 )² = 7² = 49  sq feetStep-by-step explanation:Given as :The total area of two square plots = 74 sq feetLet The side of other plot = s    feetSo, The side of one plot = ( s + 2 )   feetNow , ∵ Area of square = side²  Area of other plot = s²  Area of one plot = ( s + 2 )²As, The total area of two square plots = 74 sq feet So ,  s²  + ( s + 2 )² = 74 sq feet   Or,   s² + s² + 4s + 4 = 74 Or,   2s² + 4s - 70 = 0Or,    s² + 2s - 35 = 0 Or,    s² -5s + 7s - 35 = 0Or,    s ( s - 5) + 7 ( s - 5 ) = 0So,   ( s - 5 ) ( s + 7 ) = 0 ∴      s = 5 , - 7 Thus The area of other plot = s² = 5² = 25  sq feet And The area of one plot = ( 5 + 2 )² = 7² = 49  sq feet  Answer