Question

Charlene's swimming pool is rectangular. It has an area of 120 ft2. Charlene drew a scale drawing of the pool using the scale LaTeX: 1\frac{1}{2} 1 1 2 centimeters = 2 feet. What was the area of the scale drawing?

Answer 1

The area of the scale drawing is
`67.5\ cm^(2)`

Explanation:

The scale drawing is

`(1(1)/(2))/2\ (cm)/(ft)`

Convert to an improper fraction

`(1(1)/(2))=3/2`

substitute

`(1(1)/(2))/2=(3/4)=0.75\ (cm)/(ft)`

The area is equal to

`120\ ft^(2)`

substitute

`120*(0.75)^(2)=67.5\ cm^(2)`