Answer :
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:
[tex]\[ \text{Length in yards} = \frac{\text{Drawing Length in mm}}{\text{Scale Ratio in mm/yd}} = \frac{100 \text{ mm}}{5 \text{ mm/yd}} \][/tex]
- This simplifies to:
[tex]\[ \text{Length in yards} = 20 \text{ yards} \][/tex]
4. Calculate the actual width of the pond:
- Similarly, using the scale, we find the real-life width:
[tex]\[ \text{Width in yards} = \frac{\text{Drawing Width in mm}}{\text{Scale Ratio in mm/yd}} = \frac{250 \text{ mm}}{5 \text{ mm/yd}} \][/tex]
- This simplifies to:
[tex]\[ \text{Width in yards} = 50 \text{ yards} \][/tex]
5. Conclusion: The actual dimensions of the pond are:
- Length: 20 yards
- Width: 50 yards
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:
[tex]\[ \text{Length in yards} = \frac{\text{Drawing Length in mm}}{\text{Scale Ratio in mm/yd}} = \frac{100 \text{ mm}}{5 \text{ mm/yd}} \][/tex]
- This simplifies to:
[tex]\[ \text{Length in yards} = 20 \text{ yards} \][/tex]
4. Calculate the actual width of the pond:
- Similarly, using the scale, we find the real-life width:
[tex]\[ \text{Width in yards} = \frac{\text{Drawing Width in mm}}{\text{Scale Ratio in mm/yd}} = \frac{250 \text{ mm}}{5 \text{ mm/yd}} \][/tex]
- This simplifies to:
[tex]\[ \text{Width in yards} = 50 \text{ yards} \][/tex]
5. Conclusion: The actual dimensions of the pond are:
- Length: 20 yards
- Width: 50 yards
