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?

Respuesta :

Answer:

The area of the scale drawing is [tex]67.5\ cm^{2}[/tex]

Step-by-step explanation:

The scale drawing is

[tex](1\frac{1}{2})/2\ \frac{cm}{ft}[/tex]

Convert to an improper fraction

[tex](1\frac{1}{2})=3/2[/tex]

substitute

[tex](1\frac{1}{2})/2=(3/4)=0.75\ \frac{cm}{ft}[/tex]

The area is equal to

[tex]120\ ft^{2}[/tex]

substitute

[tex]120*(0.75)^{2}=67.5\ cm^{2}[/tex]