Question

The scale factor of the blueprint of a wall to the actual wall is 0.07. The area of the actual wall is 36ft² what is the area of the wall on the blueprint?

A) 0.01764ft²

B) 0.07ft²

C) 0.1764ft²

D) 0.252ft²

Answer 1

The area of the wall on the blueprint is 0.1764 ft²

Explanation:

The scale is the relationship that exists between the magnitudes of a drawing and the actual dimensions.

The scale factor is the ratio of the dimensions in two similar figures. The term "similar figures" refers to figures that have the same shape but different sizes.

The ratio between areas is equal to the squared scale factor. This is, the scale factor for areas is the squared scale factor,

To solve scale problems in this case, then the following proportion must be proposed:

`(representation area)/(actual area) =scale factor^(2)`

Being:

• representation area=?
• actual area=36 ft²
• scale factor=0.07

Replacing:

`(representation area)/(36 ft^(2) ) =0.07^(2)`

Solving:

representation area= 0.07²*36 ft²

representation area=0.1764 ft²

The area of the wall on the blueprint is 0.1764 ft²