One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft². The length is 1 less than 3 times the width. How wide should the metal piece be? Round to the nearest hundredth of a foot. (1 point)

3.33 ft
4.3 ft
1 ft
30 ft

Question

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft². The length is 1 less than 3 times the width. How wide should the metal piece be? Round to the nearest hundredth of a foot.  (1 point)

3.33 ft
4.3 ft
1 ft
30 ft

anonymous · Answer

LW = (3W-1) W = 30            3W^2 - W - 30=0      W=(1+/- sqrt(1-4*3*-30))/6 = (1+/-sqrt(1+12*30))/6 = (1+/- sqrt(361))/6 = (1+19)/6 = 20/6  ~
=  3.33