Question

a scale drawing for a restaurant is shown below.
in the drawing, 2 cm represents 3 m.
assuming the dining hall is rectangular, find the area of the real dining hall.
image of a scale drawing with a kitchen (12 cm long, 4 cm wide) and a dining hall (4 cm long, 6 cm wide) below it

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 dining hall width to real length

Drawing width: $4\ \text{cm}$
Real width: $4 \times 1.5 = 6\ \text{m}$

Step3: Convert dining hall height to real length

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

Step4: Calculate real area of dining hall

Area = width $\times$ height
$A = 6 \times 9$

Answer:

$54\ \text{square meters}$