Jill is trying to find the area of football field with the track around it at her high school. it is composed of a rectangular middle with a semicircle on each end. the rectangular field has length 130 feet and width 50 feet. what is the area of the whole thing?
a) 6500 + 625π ft2
b) 6500 + 2500π ft2
c) 6500 + 5000π ft2
d) 7125π ft2

Step-by-step explanation:

Refer the attached figure

Area of rectangle = Length * Breadth

So, area of rectangle ABCD : 130*50

                                              : 6500 square feet .

Now two semicircles are on the widths of the rectangular field .

So, diameter of the semicircles on the ends of the rectangular field = 50 feet

So, radius = diameter /2 = 50/2 = 25

Formula of area of circle =

Area of 2 semicircles =

                                   =

                                   =

So, the total area of the field = 6500 square feet + 625π square feet

                                               =

Hence  the area of the whole thing

step-by-step explanation: