Question

Brody’s town is building a pool based on a scale drawing that is 20 centimeters by 10 cemtimeters and uses the scale 1 cemtimeter : 250 cemtimeters. What is the area of the pool in square meters?

Answer 1

Area of the pool is 1250 square meters.

Explanation:

Given:

1 cm on scale is 250 cm in actual.

Therefore, 20 cm on scale is
`20* 250 = 5000\textrm{ cm}`

10 cm on scale is
`10* 250 = 2500\textrm{ cm}`

Also, we know that,
`1\textrm{ cm}= (1)/(100)\textrm{ m}`

Therefore,

`5000\textrm{ cm}=5000* (1)/(100)=50\textrm{ m}\\2500\textrm{ cm}=2500* (1)/(100)=25\textrm{ m}`

Area of the pool is given as,

`Area=50* 25=1250\textrm{ }m^(2)`

Therefore, the area of the pool is 1250 square meters.