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A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.

1. Write an equation to represent the area of the pool and deck combined.

2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?

Answer :

Semsee45go

Answer:

1)   area = (x + 3)(2x + 3) ft²

2)   299 ft²

Step-by-step explanation:

Question 1

Area of a rectangle = width x length

Given:

  • width = x + 3
  • length = 2x + 3

⇒ area = (x + 3)(2x + 3) ft²

Question 2

If x = 10:

⇒ area = (10 + 3)(2(10) + 3)

            = 13 · 23

            = 299 ft²

#1

  • New dimensions=x+3 and 2x+3ft

So

Area:-

  • Length ×Breadth
  • (x+3)(2x+3)
  • x(2x+3)+3(2x+3)
  • 2x^2+3x+6x+9
  • 2x^2+9x+9ft^2

#2

Put x=10

  • 2(10)^2+9(10)+9
  • 2(100)+90+9
  • 200+99
  • 299ft^2

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