He 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.

the length is
the width is
, and the area is

The length of the studio is 22 ft.

The width of the studio is 10 ft.

The area of the studio is 220 ft^2.

Step-by-step explanation:

The dimensions of the studio can be calculated dividing the dimensions of the drawing plan with the scale:

dimensions of the studio = dimension of  the drawing / (3 in / 5 ft)  

dimensions of the studio = dimension of  the drawing * (5 ft / 3 in)

For the length and the width we have:

Length of the studio = 13.2 in  * (5 ft / 3 in) = 22 ft

Width of the studio = 6 in  * (5 ft / 3 in) = 10 ft

Finally, the area is calculating by multiplying the length and the width:

A = L* W = 22 ft * 10 ft = 220 ft^2