Question

a scale drawing for a plot of land is shown below.
in the drawing, 2 cm represents 3 m.
assuming the backyard is rectangular, find the area of the real backyard.
area of the real backyard: \square m^2

Explanation:

Step1: Find scale factor (cm to m)

Scale: $2\ \text{cm} = 3\ \text{m}$, so $1\ \text{cm} = \frac{3}{2}\ \text{m} = 1.5\ \text{m}$

Step2: Convert backyard width to real length

Drawing width = $2\ \text{cm}$
Real width: $2 \times 1.5 = 3\ \text{m}$

Step3: Convert backyard height to real length

Drawing height = $6\ \text{cm}$
Real height: $6 \times 1.5 = 9\ \text{m}$

Step4: Calculate real backyard area

Area = $\text{width} \times \text{height}$
$3 \times 9 = 27\ \text{m}^2$

Answer:

27