Question

a scale drawing for a plot of land is shown below.
in the drawing, 5 cm represents 6 m.
assuming the backyard is rectangular, find the area of the real backyard.
(the image shows a rectangle divided into two parts: backyard (5 cm wide, 10 cm tall) and apartment (10 cm wide, 10 cm tall))
area of the real backyard: \square m²

Explanation:

Step1: Find scale factor for length

Scale: $\frac{6\ \text{m}}{5\ \text{cm}} = 1.2\ \text{m/cm}$

Step2: Convert backyard width to real length

Real width: $5\ \text{cm} \times 1.2\ \text{m/cm} = 6\ \text{m}$

Step3: Convert backyard height to real length

Real height: $10\ \text{cm} \times 1.2\ \text{m/cm} = 12\ \text{m}$

Step4: Calculate real backyard area

Area: $6\ \text{m} \times 12\ \text{m} = 72\ \text{m}^2$

Answer:

72