To find the area of the scale drawing in square meters, we need to determine both the length and width of the rectangle in the scale drawing.
Since the scale is 1 meter for the longer side, the length of the rectangle in the scale drawing is 1 meter.
Let's assume the actual longer side of the campsite is L meters and the actual shorter side is W meters.
By using these variables, we can create a proportion to determine the length of the shorter side in the scale drawing.
So, \( \dfrac{1}{L} = \dfrac{1}{W} \).
Since we know that the scale is 1 meter for the longer side in the scale drawing, the scale length of the shorter side is \( \dfrac{W}{L} \).
Given that the actual longer side is larger than the actual shorter side, we know that \( L > W \), which implies that \( \dfrac{W}{L} < 1 \).
Now that we know the length and width of the rectangle in the scale drawing, we can calculate the area of the scale drawing by multiplying the length and width:
\[
\text{Area} = 1 \times \dfrac{W}{L} \: \text{square meters}
\]
Since \( \dfrac{W}{L} < 1 \), the area of the scale drawing in square meters is less than 1.
Therefore, the correct answer is:
• 0.75 square meters
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)
• 1.33 square meters
• 12 square meters
• 0.75 square meters
• 3.5 square centimeters
1 answer