Question

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

Answer 1

I am pretty sure it is B or C I think B

Answer 2

Answer:

$(6500+625\pi) ft^{2}$

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 = $\pi r^{2}$

Area of 2 semicircles = $2*\frac{\pi r^{2}}{2}$

                                   = $\pi 25^{2}$

                                   = $625\pi$

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

                                               = $(6500+625\pi) ft^{2}$

Hence  the area of the whole thing $(6500+625\pi) ft^{2}$