Question

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.

Answer 1

Scale is 3in:8ft

So

• 1in=8/3ft

Length

• 19.5(8/3)ft
• 52ft

Width

• 15(8/3)
• 40ft

Answer 2

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.