Question

15 cm
6 cm
the scale in the drawing is 3 cm:5 m. what are the length and width of the actual room? find the area of
the actual room.
the length is
meters, the width is
meters, and the area is
square meters.

Explanation:

Step1: Find actual length

Scale is \(3\,\text{cm}:5\,\text{m}\), drawing length \(15\,\text{cm}\). Let actual length be \(L\).
\(\frac{3}{5}=\frac{15}{L}\), so \(L = \frac{15\times5}{3}=25\,\text{m}\).

Step2: Find actual width

Drawing width \(6\,\text{cm}\). Let actual width be \(W\).
\(\frac{3}{5}=\frac{6}{W}\), so \(W=\frac{6\times5}{3}=10\,\text{m}\).

Step3: Calculate area

Area of rectangle \(A = L\times W\).
\(A = 25\times10 = 250\,\text{m}^2\).

Answer:

The length is \(25\) meters, the width is \(10\) meters, and the area is \(250\) square meters.