A scale drawing of a park is 39 inches and long and 24 inches wide on the drawing 1 inch is equal to 250 square feet what are the actual lengths and width of the park
To find the actual lengths and width of the park, we need to convert the measurements from the scale drawing to actual measurements.
The scale of the drawing is 1 inch = 250 square feet. However, this conversion is for area, not length. We need to determine the scale for length, not square footage.
Given that the scale drawing is 39 inches long, we can set up an equation:
1 inch (scale drawing) = x inches (actual length)
According to the given scale of 1 inch = 250 square feet, we know that the area is proportional to the square of the length. Therefore, we can set up another equation:
1^2 inch^2 (scale drawing) = x^2 inches^2 (actual area)
Solving for x in the first equation will give us the conversion factor for length:
x = 39 inches * (1 inch / 1 inch) = 39 inches.
Thus, 1 inch on the scale drawing represents 39 inches in actual length.
Now, we can determine the actual length and width:
Actual length = 39 inches * 39 = 1521 inches
The scale drawing is 24 inches wide, so using the same logic:
Actual width = 24 inches * 39 = 936 inches.
Therefore, the actual length of the park is 1521 inches and the actual width is 936 inches.