Answer:
[tex](6500+625\pi) ft^{2}[/tex]
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 = [tex]\pi r^{2}[/tex]
Area of 2 semicircles = [tex]2*\frac{\pi r^{2}}{2}[/tex]
= [tex]\pi 25^{2}[/tex]
= [tex]625\pi [/tex]
So, the total area of the field = 6500 square feet + 625π square feet
= [tex](6500+625\pi) ft^{2}[/tex]
Hence the area of the whole thing [tex](6500+625\pi) ft^{2}[/tex]
