A family needs to build fencing around their rectangular
home and square swimming pool, depicted below.
The total amount of fencing they need can be written
as
x + 10
Pool (2x) yd
If x=5,
The family needs
their home
yards of fencing for
Home
(2 + 5x) yd
The family needs
pool.
yards of fencing for their
(3 + 10x) yd

If you are given a rectangular home and a square swimming pool, with dimensions of 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 5 yards of fencing for their home. The family needs 10 yards of fencing for their pool.

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raphealnwobi raphealnwobi · Answer 2 · 2022-03-03T10:52:49+01:00

The family needs 40 yards of fencing for the pool and 160 yards of fencing for the home.

Perimeter

The perimeter of a rectangle is:

Perimeter = 2(length + width)

For a square:

Perimeter = 4 * length

From the diagram:

Perimeter of pool = 4 * 2x = 8x

Perimeter of rectangle = 2(3 + 10x + 2 + 5x) = 30x + 10

Total amount of fencing = 8x + 30x + 10 = 38x + 10

x = 5. hence:

Perimeter of pool = 8(5) = 40 yards

Perimeter of home = 30(5) + 10 = 160 yard

The family needs 40 yards of fencing for the pool and 160 yards of fencing for the home.

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