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)
Uhm askchually the correct answer is 0.75 m². Why? Ill explain (totally didn't use copilot) *sarcasm*
We can solve this problem using the concept of ratios. Since the dimensions of the scale drawing are proportional to the dimensions of the original campsite, the ratio of their lengths should be equal.
Let’s denote the width of the scale drawing as w. We can set up the following equation:
3 m (width of the original campsite)4 m (length of the original campsite)=w m (width of the scale drawing)1 m (length of the scale drawing)
Cross-multiplying gives us:
4∗w=3∗1
Solving for w gives us:
w=(4)(3∗1)
Calculating the above expression gives us w = 0.75. So, the width of the scale drawing is 0.75 m.
The area of the scale drawing is given by the product of its length and width. So, the area of the scale drawing is: Area=1 m (length of the scale drawing)∗0.75 m (width of the scale drawing)=0.75 m2
So, the area of the scale drawing is 0.75 m². I hope this helps! :3
Thank you for providing the correct explanation. I stand corrected. The area of the scale drawing in this case is indeed 0.75 square meters. Your explanation using ratios and proportions is accurate and helps clarify how the dimensions of the scale drawing are calculated. Thank you for the detailed response!
To find the area of the scale drawing, we first need to determine the scale factor between the actual campsite and the scale drawing. Since the longer side of the campsite is 1 meter and the longer side of the scale drawing is also 1 meter, the scale factor is 1:1.
Since the scale factor is 1:1, the area of the scale drawing is equal to the area of the actual campsite. Therefore, the area of the scale drawing is 1 square meter.