An airport parking lot is a rectangle 1 310 of a mile wide a

An airport parking lot is a rectangle 1 3/10 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.

Find the area of the rectangular parking lot. Show work using fraction arithmetic, and include units with your answer.

Solution

Length of parking lot, l = 2 3/4 mile = 11/4 mile

Breadth of parking lot, b= 1 3/10 mile= 13/10 mile

Fencing needed to enclose the lot= Perimeter of parking lot= 2(l+b)

                                                                                      = 2(11/4+13/10)

LCM= 20                                       = 2(11*5+13*2)/20

                                                                                       = 2(55+26)/20

                                                                                       = 2(81)/20

                                                                                       = 162/20

                                                                                        = 81/10

                                                                                        = 8 1/10 miles

Area of the rectangular parking lot= l*b

                                                 = 11/4 * 13/10

                                                 = 143/40

                                                 = 3 23/40 miles.

                                                              = miles

                                                               = miles

                                                                                                           = 2()

                                                                                                           = 2()

                                                                                                           =

                                                                                                           = miles

                                                                                                           =   miles