Question

PLEASE HELP ME LOL

Answer 1

If the gardener want the length to be 14 feet longer than it is wide, then L=w+14.  We are given an area of 112.  The area formula for a rectangle is A=L*W.  Filling in accordingly, 112 = (w+14)(w).  Distributing we have $112=w^2+14w$.  We are looking for the dimensions of the garden, so we have to solve for w.  To do that we have to factor. Set it equal to 0 to get the quadratic $w^2+14w-112=0$.  Plug that into the quadratic formula to get w values of 5.69 and -19.69.  The 2 things in math that will never EVER be negative are time and distance/length so we will not use the negative value.  Therefore, our width is 5.69.  Our length of w+14 is then 5.69+14 is 19.69.  There's our dimensions:  width is 5.69 and length is 19.69