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.
(the image shows a scale drawing with a kitchen (8 cm long, 2 cm wide) and a dining hall (2 cm wide, 4 cm tall))
area of the real dining hall: \\(\square\\) \\(\text{m}^2\\)

Explanation:

Step1: Find scale factor (m/cm)

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

Step2: Convert dining hall width to real size

$\text{Real width} = 2 \times 1.5 = 3 \, \text{m}$

Step3: Convert dining hall height to real size

$\text{Real height} = 4 \times 1.5 = 6 \, \text{m}$

Step4: Calculate real area (rectangle)

$\text{Area} = 3 \times 6$

Answer:

$18$