A rectangular lot has dimensions.

Question

Length- x-1/2 meters

Width- 4x/x-1 meters

a. What is the rational expression that represents the perimeter of the lot?

b. When x=5, how many meters is the length longer than the width?

Answer 1

Perimeter = P = 2(L+W) = 2(x-1/2 + 4/x+1) = 2(x+4/x + 1/2)= 2x +8/x + 1

when x=5

L=5-1/2 = 4 1/2 = 4.5

W=(4/x) +1 = 4/5 +1 = 1.8

4.5 - 1.8 = 2.7 meters longer than wide