Question

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 x + 10. If x = 5; The family needs yards of fencing for their home. The family needs yards of fencing for their pool.

Answer 1

Answer:

Step-by-step explanation:

First considering the rectangular home

Length = 2 + 5 x

Breadth = 3 + 10 x

Area = length * breadth = ( 2 + 5 x ) ( 3 + 10 x ) = 50 x² + 35 x + 6.

So the cost of fencing can be calculated = (Area of rectangular home) * (cost of fencing per square yard).

Now considering the square swimming pool.

length of side = 2 x

Area = (2 x ) * ( 2 x ) = 4 x²

Fencing amount = 4 x² * ( cost of fencing per square yard )