5. A family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? (1 point)
38x2
42x2 – 4x2
42x2 – 2x2
38x2

Question

5.   A family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built?  (1 point)
38x2
42x2 – 4x2
42x2 – 2x2
38x2

anonymous · Answer

$$
A_{ground} = A_{yard}-A_{pool} \
A_{yard} = (7x)(6x) \
A_{pool} = \pi (2x)^2 \
A_{ground} = (7x)(6x)- \pi (2x)^2
$$Simplify.

anonymous · Answer

42x2-4x2?