Mr. lumen replaced a square window with a rectangular one. The new window is 3 ft. wider and 2 ft. higher than the square one. it has an area of 42 ft. how long was a side of the original square.
let the length and width of the square window be x ft. the new dimensions are: length=(x+3) ft and width=(x+2) ft the area will be: A=length*width thus A=(x+3)(x+2)=42 x^2+5x+6=42 x^2+5x-36=0 factoring the above we get: (x-4)(x+9)=0 thus x=4 or x=-9 hence we take x=4 since there is n negative dimension. Thus the original dimension of the square was 4 ft by 4 ft.
