The area of a rectangle is 22 square feet. If the length is 4 feet more than 6 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.

Answer 1

A = L*W=22 and L=6W+4, so 22=(6W+4)*W -> 22=6W²+4W -> 11=3W²+2W -> 0=3W²+2W-11

Solve for W, ignoring the negative solution (since width can't be less than zero)