Question

Question
Use the image to answer the question.


The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square meters?

(1 point)
Responses

3.5 square centimeters
3.5 square centimeters

0.75 square meters
0.75 square meters

1.33 square meters
1.33 square meters

12 square meters

Answer 1

Let the actual longer side be L and the shorter side be S. The scale factor is 1/L (since the longer side is drawn as 1 m), so the drawing’s area is

drawing area = (1/L)^2 · (L·S) = S/L.

From the diagram S : L = 3 : 4, so the drawing’s area = 3/4 = 0.75 square meters.

Answer: 0.75 square meters.