Question

Mary would like to plant grass in her backyard. Her backyard is a rectangle that measures 10 yards by 8 yards. In the middle of her backyard is a circular song pool that has a diameter of 5 yards what is the area to be planted with grass, to the nearest 10th of a square yard?

Answer 1

The backyard is a rectangle, so the area is given by the product of the dimensions:

$A_r = 10\cdot 8 = 80$ squared yards

The pool is a circle, so the area is given by $\pi r^2$. The radius is half the diameter, so we have

$A_c = \pi(2.5)^2 \approx 19.63$

So, the remaining area is

$A = A_r-A_c = 80-19.63 = 60.37$

which you can round to 60.4