Question

A scale drawing for a restaurant is shown below. In the drawing, 2 I'm represents 3 m. Assuming the dinning hall is rectangular, find the area of the real dining hall

Answer 1

To solve this question, follow the steps below.

Step 01: Find the real measures of the dining hall.

The measure of the drawing is 2cm x 6cm.

Given: 2cm = 3m.

Then, 6cm = 2cm + 2cm + 2cm = 3m + 3m + 3m = 9m

The real measure of the dining hall is 3m x 9m.

Step 02: Find the area of the dining hall.

The dining hall is a rectangle and the area (A) of a rectangle is:

$A=l*h$

Where l and h are the sides of the rectangle.

Then, the area of the dining hall is:

$\begin{gathered} A=3*9 \\ A=27m^2 \end{gathered}$

Answer: The area of the dining hall is 27 m².