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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.

Sagot :

semsee45

Answer:

Length = 52 ft

Width = 40 ft

Step-by-step explanation:

Given information:

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

Scale

[tex]\implies \sf 3 \: in : 8 \: ft[/tex]

[tex]\implies \sf 1 \: in : \dfrac{8}{3} \: ft[/tex]

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

[tex]\sf Length = 19.5 \times \dfrac{8}{3}=52\:ft[/tex]

[tex]\sf Width = 15 \times \dfrac{8}{3}=40\:ft[/tex]

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

MisterBrainly

Scale is 3in:8ft

So

  • 1in=8/3ft

Length

  • 19.5(8/3)ft
  • 52ft

Width

  • 15(8/3)
  • 40ft
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