Answer:
w = 10
l=31
Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=l*w. We know the length is 1 ft less than three times the width. So l = 3w - 1. So the area is A= (3w-1)*w.
We also know the area is 310. Substitute this value for A and solve.
To solve the quadratic, use the quadratic formula:
Here a=3, b=-1 and c=-310.
This is w and must be positive since it is distance. So w=10.333....
To find l, substitute into l = 3w-1.
l=3(10.333..)-1
l=31-1 = 30