Question

a scale drawing for a plot of land is shown below.
in the drawing, 3 cm represents 4 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 per cm

$\frac{4}{3}\ \text{m/cm}$

Step2: Convert drawing length to real length

Real length: $6 \times \frac{4}{3} = 8\ \text{m}$

Step3: Convert drawing width to real width

Real width: $3 \times \frac{4}{3} = 4\ \text{m}$

Step4: Calculate real backyard area

Area: $8 \times 4 = 32\ \text{m}^2$

Answer:

32