Question

8) Use the situation to answer the question.
The scale drawing of a rectangular pond is 5 mm to 1 yd. The dimensions of the drawing are 100
mm by 250 mm.
Calculate the dimensions of the pond.

Answer 1

To determine the actual dimensions of the pond based on the given scale drawing, let's follow these steps:

1. Identify the given scale ratio: The scale provided is 5 mm to 1 yard. This means that every 5 millimeters on the drawing equate to 1 yard in real life.

2. Note the dimensions of the drawing:
- Drawing length: 100 mm
- Drawing width: 250 mm

3. Calculate the actual length of the pond:
- Given that 5 mm on the drawing translates to 1 yard in actual size, we can determine the real-life length as follows:
$\[ \text{Length in yards} = \frac{\text{Drawing Length in mm}}{\text{Scale Ratio in mm/yd}} = \frac{100 \text{ mm}}{5 \text{ mm/yd}} \]$
- This simplifies to:
$\[ \text{Length in yards} = 20 \text{ yards} \]$

4. Calculate the actual width of the pond:
- Similarly, using the scale, we find the real-life width:
$\[ \text{Width in yards} = \frac{\text{Drawing Width in mm}}{\text{Scale Ratio in mm/yd}} = \frac{250 \text{ mm}}{5 \text{ mm/yd}} \]$
- This simplifies to:
$\[ \text{Width in yards} = 50 \text{ yards} \]$

5. Conclusion: The actual dimensions of the pond are:
- Length: 20 yards
- Width: 50 yards