Arancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have ?

Lets l to be lenght, w width, p perimeter and a area:

a=lw

6400 ft²=lw

2(l+w)=p

2(l+w)=400 ft

l+w= 200 ft

l=200ft-w

substitute it instead of l to lw=6400ft²

(200-w)w=6400

200w-w²=6400

w²-200w+6400=0

(w-160)(w-40)=0

w = 160ft

w = 40ft

l=200-w

l=200-160 = 40ft

l= 200-40 =160ft

Yes, that is the correct formula. to solve this problem given the number of years, plug in the number of years for t and plug the whole thing into the