Problema Solution

An airport parking 1 7/10 lot is a rectangle of a mile wide and 2 3/4 of a mile long. How much fencing is needed to enclose the lot? Show work using fraction arithmetic, and include units with your answer..

Answer provided by our tutors

width = 1 7/10 = (1*10 + 7)/10 = 17/10 mi

length = 2 3/4 = (2*4 + 3)/4 = 11/4 mi

We need to find the perimeter of the rectangular lot:

P = 2*width + 2*length

P = 2*(17/10) + 2*(11/4)

P = 17/5 + 11/2

P = (17*2 + 11*5)/10

P = (34 + 55)/10

P = 89/10

P = 8 9/10 mi

8 9/10 miles of fencing is needed to enclose the lot.