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A rectangular swimming pool with dimensions 12 meters by 18 meters is surrounded by a pavement of uniform width x meters. Find the area of the pavement, A, as a function of x.

Respuesta :

sqdancefan

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Answer:

  A = 4x² +60x

Step-by-step explanation:

The area of walkway along each of the sides is the product of side length and walk width x. The total for the four sides is ...

  12x + 18x + 12x + 18x = 2x(12 +18) = 60x

There is a square of walkway at each corner whose dimensions are x by x, so the corner area is ...

  4·x²

Then the total walkway area is ...

  A = 4x² +60x

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