Question

A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space

Answer 1

36 square yards.

Explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

2 inches ---- 3 yards then 1 inch is 3/2 yards.

Let's say that the office is 8 inches x 2 inches = 16 squared inches

Then, if we convert it to yards,

8 inches would be:
`8((3)/(2))=12` yards

and 2 inches would be:
`2((3)/(2))=3` yards

Then, the area of the office would be 12 x 3 = 36 squared yards.

Answer 2

36 Square Yards

Explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

=36 Square Yards