A family needs to build fencing around their rectangular home and square swimming pool, depicted below. A rectangle labeled home has its right side labeled (2 + 5 x) yards and its bottom side labeled (3 + 10 x) yards. The square, labeled pool, is smaller than the rectangle. One of its sides is labeled (2x) yards.

The total amount of fencing they need can be written as  

38 x + 10.

If x = 5;

The family needs  160  yards of fencing for their home.

The family needs  40  yards of fencing for their pool.

Step-by-step explanation:

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.