A park at the end of a city block is a right triangle with legs 150 ft and
200 ft long. Make a scale drawing of the park using the following scale 1in:300ft.
300 feet = 1/2 in
200 feet = 2/3 in
That's a really small drawing.
To make a scale drawing of the park, follow these steps:
Step 1: Determine the dimensions of the drawing.
- The length of one leg of the right triangle is 150 ft, and the other leg is 200 ft.
- The scale is given as 1 inch : 300 feet.
Step 2: Convert the dimensions to the same unit.
- Convert the length of one leg from feet to inches.
150 ft * 1 in/300 ft = 0.5 inches
- Convert the length of the other leg from feet to inches.
200 ft * 1 in/300 ft = 0.6667 inches
Step 3: Draw a right triangle using the converted dimensions.
- On a piece of graph paper or a drawing software, draw a right triangle.
- Label one side with a length of 0.5 inches and another side with a length of 0.6667 inches.
Step 4: Label the diagram.
- Add labels to the drawing to indicate the lengths of the legs (150 ft and 200 ft).
Step 5: Complete the scale drawing.
- Add any additional details like paths, trees, or benches to complete your scale drawing of the park.
To make a scale drawing of the park, we need to determine the dimensions of the park in inches. Given that the scale is 1in:300ft, we can calculate the dimensions of the park in inches by dividing the actual dimensions by 300.
To find the length of the shorter leg in inches, which is 150 ft, we divide it by 300:
150 ft ÷ 300 = 0.5 ft
Since there are 12 inches in a foot, we multiply 0.5 by 12 to convert it to inches:
0.5 ft × 12 in/ft = 6 inches
The length of the shorter leg of the park is 6 inches in the scale drawing.
Next, we find the length of the longer leg in inches, which is 200 ft. We divide it by 300:
200 ft ÷ 300 = 0.6667 ft
Converting it to inches:
0.6667 ft × 12 in/ft = 8 inches (rounded to the nearest inch)
The length of the longer leg of the park is approximately 8 inches in the scale drawing.
Now, we can draw a right triangle with legs measuring 6 inches and 8 inches on a piece of paper using a ruler.
Note: Make sure to label the sides to indicate which side represents each actual length.
Remember, scale drawings are proportional representations of real-life objects, allowing us to visualize and compare sizes.