Question

Anna made a scale drawing, in inches, of a building using a scale of 1:600 . Her scale drawing was 6 inches long. Greg made a scale drawing of the same building using a scale of 1:300 How long, in inches, was Greg's scale drawing?

Answer 1

1200 inches

Explanation:

Given that:

Scale used by Anna in her drawings = 1 : 600

Length of drawing made by Anna of a building = 6 inches

Scale used by Greg in the drawing = 1 : 300

To find:

The length of scale drawing made by Greg.

Solution:

Here, we first need to find the original length of the building so that we can find the length of scale drawing made by Greg.

Ratio 1 : 600 means 600 is the actual length of building, if the length of scale drawing is 1.

Here, we are given length of scale drawing as 6 inches, therefore the actual length of building = 6
`*` 600 = 3600 inches

Now, applying the ratio 1 : 300, we get the length of scale drawing by Greg as
`(3600)/(3)` = 1200 inches