Question

rosa just finished installing a small koi pond in her back yard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other. One side of the garden is three times the longer side of the koi pond;and the other side of the garden is five feet longer than the first side. How much sod does Rosa need to buy?

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.