A scale drawing of a dance floor is has a length of 22 inch, a height of 14 cm, and has a scale of 5 cm: 8 ft. What is the area of the actual dance floor? A) 600 ft B) 480.35 ft C) 800.25 ft D) 788.48 ft

Respuesta :

Answer: OPTION D

Step-by-step explanation:

The missing figure is attached.

According to the data given in the exercise, the scale used is the following:

[tex]5\ cm:\ 8 ft[/tex]

Then, if in the scale drawing the dance floor has a length of 22 centimeters, then its actual length is:

[tex]l=\frac{22\ cm*8\ ft}{5\ cm}\\\\l=35.2\ ft[/tex]

If in the scale drawing the dance floor has a height of 14 centimeters, then its actual height is:

[tex]h=\frac{14\ cm*8\ ft}{5\ cm}\\\\h=22.4\ ft[/tex]

Finally, in order to calculate the area of the actual dance floor, you need to multiply its dimensions.

Therefore, you get that its area is:

[tex]A=(35.2\ ft)(22.4\ ft)\\\\A=788.48\ ft^2[/tex]

Ver imagen luisejr77