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The area of a rectangular fountain is (x^2+12x+20)square feet. A 2 foot walkway is built around the fountain.?

Science & Mathematics by Anonymous 2018-06-19 01:32:56

Social Science

The area of a rectangular fountain is (x^2+12x+20)square feet. A 2 foot walkway is built around the fountain.?

2 answers

Find the dimensions of the outside border of the walkway.

  • Anonymous

    The fountain is (x+10) by (x+2). The walkway makes (x+14) by (x+6)

  • Anonymous

    x^2 + 12x + 20 = (x + 10) * (x + 2) The border will add 2ft to each side, for an overall addition of 4ft to each edge (x + 10 + 4) * (x + 2 + 4) => (x + 14) * (x + 6) => x^2 + 14x + 6x + 84 => x^2 + 20x + 84

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