Question

a scale drawing for a restaurant is shown below. in the drawing, 1 cm represents 4 m. assuming the dining hall is rectangular, find the area of the real dining hall.

Explanation:

Step1: Find real - length of dining hall

Since 1 cm represents 4 m and the length of the dining hall in the drawing is 2 cm, the real - length $l = 2\times4=8$ m.

Step2: Find real - width of dining hall

Since 1 cm represents 4 m and the width of the dining hall in the drawing is 3 cm, the real - width $w = 3\times4 = 12$ m.

Step3: Calculate area of dining hall

The area of a rectangle is $A=l\times w$. Substituting $l = 8$ m and $w = 12$ m, we get $A=8\times12 = 96$ $m^{2}$.

Answer:

96