The drawing plan for an art studio shows a rectangle that is 13.2 inches by 6 inches. The scale in the plan is 3 in 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio

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Answer:

Actual length = 22 feet

Actual width = 10 feet

Actual area = 220 sq. feet.

Step-by-step explanation:

The scale in the drawing plan is 3 inches : 5 feet.

So, it interprets that the original length of 5 feet is drawn in the drawing plan of 3 inches length.

Therefore, 13.2 inches length of the drawing is equivalent to [tex]\frac{5}{3}\times 13.2 = 22[/tex] feet in the original length. (Answer)

And, the 6 inches width of the drawing is equivalent to [tex]\frac{5}{3} \times 6 = 10[/tex] feet in the original width. (Answer)

Now, the area of the actual studio will be (22 × 10) = 220 sq. feet. (Answer)