looking at your picture, you have 1 rectangles with 2 semicircles attached to the side.
The rectangle has dimensions of 8m by 10 m and the semicircle has a diameter of 10
now, the area of a rectangle is A=b*h
where A- area
b- base = 8m
h-height= 10m
the area of a circle is
[tex]A=\pi r^2[/tex]
and a semicircle is just one half the area of a circle, so
[tex]A_{semi}= \frac{1}{2} \pi r^2[/tex]
but you have two semicircles, so you can just add the area of a circle to the area of the rectangle to get the total area
now, the diameter is 10m, which means that teh radius of a circle is 5m
[tex]A_{total}= A_{rect} +A_{circ}[/tex]
[tex]A_{total}= b*h + \pi r^2[/tex]
[tex]A_{total} = 8*10 +\pi 5^2 =158.5[/tex]
