Writing a polynomial expression to represent perimeter a family needs to build fencing around their rectangular home and square swimming pool, depicted below. pool=2x & home=(2 +5x) & (3+10x) 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?

"The family needs 160 yards of fencing for their home."

"The family needs 40 yards of fencing for their pool."

Step-by-step explanation:

Home:

The home is rectangular in shape and the perimeter is given by:

P = 2 (l + w)

Where

P is perimeter

l is length

w is width

Let's find perimeter of home given l = 2+5x and w=3+10x

P = 2 (2+5x+3+10x)

P = 2 (5+15x)

P = 10 + 30x

Since, x = 5, it will be 10 + 30(5) = 160 yards of fencing needed

Pool:

The pool is square and the perimeter would be given as:

P = 4s

Where

P is perimeter

s is side length

The side length is given as 2x, so perimeter is:

P = 4(2x) = 8x

Given x = 5,

P = 8(5) = 40 yards of fencing needed

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step-by-step explanation: