Question

a scale drawing for a backyard is shown below.
in the drawing, 2 cm represents 3 m.
assuming the patio is rectangular, find the area of the real patio.
12 cm
6 cm
2 cm
2 cm
lawn
patio

Explanation:

Step1: Find scale factor

Scale: $\frac{3\ \text{m}}{2\ \text{cm}} = 1.5\ \text{m/cm}$

Step2: Get patio's drawing dimensions

Length = $6\ \text{cm}$, Width = $2\ \text{cm}$

Step3: Convert to real dimensions

Real length: $6 \times 1.5 = 9\ \text{m}$
Real width: $2 \times 1.5 = 3\ \text{m}$

Step4: Calculate real patio area

Area = $\text{length} \times \text{width}$
$Area = 9 \times 3$

Answer:

$27\ \text{square meters}$