Respuesta :
Answer:
38
160
40
Step-by-step explanation:
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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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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