A family needs to build fencing around their rectangular home and square swimming pool, depicted below.
1 answer:
The total amount of fencing they need = 38x + 10.
Perimeter for the rectangular fencing of the home = 160 yards
Perimeter for the square fencing of the pool = 40 yards
<h3>What is the Perimeter of a Rectangle and a Square?</h3>Perimeter of a rectangle = 2(length + width)
Perimeter of a square = 4(side length).
Perimeter for the rectangular fencing of the home = 2(3 + 10x + 2 + 5x) = 2(15x + 5) = 30x + 10
Perimeter for the square fencing of the pool = 4(2x) = 8x
The total amount of fencing they need = 30x + 10 + 8x = 38x + 10.
If x = 5, then:
Perimeter for the rectangular fencing of the home = 30x + 10 = 30(5) + 10 = 160 yards
Perimeter for the square fencing of the pool = 4(2x) = 8x = 8(5) = 40 yards.
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