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8) use the situation to answer the question. the scale drawing of a rec…

Question

  1. 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. length: 105 yd width: 20 yd length: 50 yd width: 20 yd length: 100 yd width: 50 yd

Explanation:

Step1: Define scale conversion factor

Scale: $5\ \text{mm} = 1\ \text{yd}$, so conversion factor is $\frac{1\ \text{yd}}{5\ \text{mm}}$

Step2: Calculate actual length

Multiply drawing length by conversion factor:
$100\ \text{mm} \times \frac{1\ \text{yd}}{5\ \text{mm}} = 20\ \text{yd}$

Step3: Calculate actual width

Multiply drawing width by conversion factor:
$250\ \text{mm} \times \frac{1\ \text{yd}}{5\ \text{mm}} = 50\ \text{yd}$

Answer:

Length: 20 yd
Width: 50 yd