51.3k views
0 votes
A blueprint of a barn is shown. The scale is 5 inches = 8 feet. What is the actual area of the barn?

User Vikas Mane
by
7.9k points

1 Answer

3 votes

Using the given scale factor, the actual area of the barn with a length of 20 inches and breadth of 25 inches is calculated as 1280 square feet.

To find the actual area of the barn, we need to use the given scale factor. The scale is 5 inches = 8 feet. We can first find the actual dimensions of the barn by converting the blueprint dimensions using the scale factor.

For length:

Actual Length = Blueprint Length * (Actual Length Scale Factor)

Actual Length = 20 inches * (8 feet / 5 inches) = 32 feet

For breadth:

Actual Breadth = Blueprint Breadth * (Actual Breadth Scale Factor)

Actual Breadth = 25 inches * (8 feet / 5 inches) = 40 feet

Now, we can find the actual area of the barn:

Actual Area = Actual Length * Actual Breadth

Actual Area = 32 feet * 40 feet = 1280 square feet

Therefore, the actual area of the barn is 1280 square feet.

The question probable may be;

A blueprint of a barn is shown. The scale is 5 inches = 8 feet. What is the actual area of the barn? length 20in and breadth 25 in Select one: 3125 ft^2 1280 ft^2 500 ft^2 720ft^2

A blueprint of a barn is shown. The scale is 5 inches = 8 feet. What is the actual-example-1
User Nick Sonneveld
by
7.2k points