Question

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

Answer 1

Actual length = 22 feet

Actual width = 10 feet

Actual area = 220 sq. feet.

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
`(5)/(3)* 13.2 = 22` feet in the original length. (Answer)

And, the 6 inches width of the drawing is equivalent to
`(5)/(3) * 6 = 10` feet in the original width. (Answer)

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