What are the dimensions of a rectangular tract of land when its perimeter is 74 kilometres and its area is 342 square kilometres?

Answer 1

LW = 342

74 =2L+2W

L+W = 37

L =37-W

(37-W)W = 342

37W -W^2 = 342

W^2 -37W +342 = 0

(W-19)(W-18) = 0

W = 37/2 - (1/2)sqr(37^2-4(342)) = 18 km wide

L =342/18 = 19 km long