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 ratio of the areas.

Explanation:

Step1: Find drawing area

$\text{Drawing Area} = 100 \times 250 = 25000\ \text{mm}^2$

Step2: Convert drawing to real dimensions

Real length: $\frac{100}{5} = 20\ \text{yd}$, Real width: $\frac{250}{5} = 50\ \text{yd}$

Step3: Calculate real pond area

$\text{Real Area} = 20 \times 50 = 1000\ \text{yd}^2$

Step4: Compute area ratio

$\text{Ratio} = \frac{\text{Drawing Area}}{\text{Real Area}} = \frac{25000}{1000} = \frac{25\ \text{mm}^2}{1\ \text{yd}^2}$

Answer:

$\boldsymbol{\frac{25\ \text{mm}^2}{1\ \text{yd}^2}}$ (corresponding to the second option)