a farmer has 120 yards of fencing to build around a rectangular orchard. let w be the width of the orchard. writean equation giving the area of the orchard. find the dimensions of the orchard when the area is 900 square yards.

Question

acxbox22 · Answer

@SolomonZelman , @jim_thompson5910

acxbox22 · Answer

@jdoe0001

jim_thompson5910 · Answer

Assuming he uses all of the fencing to enclose the entire orchard, this means the perimeter of the orchard is 120 yards

P = 120

jim_thompson5910 · Answer

The perimeter of a rectangle is 

P = 2*(L+W)

plug in P = 120

120 = 2*(L+W)

then divide both sides by 2

60 = L + W

and then solve for L to get 

L = 60 - W

jim_thompson5910 · Answer

The area of a rectangle is 

A = L*W

Plug in the desired area (900) for A and L = 60 - W to get

900 = (60 - W)*W

and I'll let you take over from here

acxbox22 · Answer

thanks

jim_thompson5910 · Answer

np