Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K

Question

Mathematics

Albert Ewing

27 February, 07:41

Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K

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Answers (1)

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Charlize Gardner · Answer 1

The sketch of the garden and the pond is shown below

Area of garden = length * width

Area of garden = [3x + 5] * 3x

Area of garden = 3x[3x+5]

Area of garden = 9x² + 15x

Area of pond = [x-2] * x

Area of pond = x[x-2]

Area of pond = x² - 2x

Area to be re-sod = Area of garden - Area of pond

Area to be re-sod = 9x² + 15x - [x² - 2x]

Area to be re-sod = 9x² - x² + 15x + 2x

Area to be re-sod = 8x² + 17x

The amount of sod needed to be bought would depend on how much in each packaging they are being sold.