Answer
The cost of sod is around $325.83 dollars.
Work Step by Step
1. Find the area of the semi circle and multiply it by 2
Let $S =$ area of the semi circle
$S = \frac{1}{2}\pi r^{2}$
$S = \frac{1}{2} (3.14) (8^{2})$
$S = \frac{1}{2} (200.96)$
$S = 100.48$ sq ft
There are 2 semi circles are on opposite ends and therefore this area must be multiplied by 2.
$(S \times 2) = (100.48 \times 2) = 200.96$ sq ft
2. Find the area of the rectangle
Let $R =$ area of the rectangle
$R = base \times height$
$R = 29 \times 16$
$R = 464$ sq ft
3. Add up the area of the semi circles and the area of the rectangle
Let $T = $ total area of the playing field
$T = 464 + 200.96$
$ T = 664.96$
4. Find the cost of sod
Let $P =$ the cost of sod
$P = 664.96 \times 0.49$
$P = 325.8304$ dollars
$P = 325.83$ dollars
