219,554 views
40 votes
40 votes
the drawing plan for a new CrossFit studio shows a rectangle that is 19.5 inches by 15 inches, as shown below. The scale in the plan is 3in.:8ft. Find the length and width of the actual studio.

User GreenKiwi
by
2.4k points

2 Answers

19 votes
19 votes

Scale is 3in:8ft

So

  • 1in=8/3ft

Length

  • 19.5(8/3)ft
  • 52ft

Width

  • 15(8/3)
  • 40ft
User Ryszard Szopa
by
2.6k points
24 votes
24 votes

Answer:

Length = 52 ft

Width = 40 ft

Explanation:

Given information:

  • length = 19.5 in
  • width = 15 in
  • scale = 3 in : 8 ft

Scale


\implies \sf 3 \: in : 8 \: ft


\implies \sf 1 \: in : (8)/(3) \: ft

To find the length and width of the studio in feet, multiply the length and width in inches by 8/3:


\sf Length = 19.5 * (8)/(3)=52\:ft


\sf Width = 15 * (8)/(3)=40\:ft

Therefore, the length of the actual studio is 52 ft and the width of the actual studio is 40 ft.

User Kamga Simo Junior
by
2.7k points