Question

The diagram shows a scale drawing of a rectangular banner with a scale of 1:30. Calculate

Answer 1

Answer:

Part 1) The actual length of the banner is $1.2\ m$

Part 2) The area of the banner is $3.24\ m^{2}$

Step-by-step explanation:

we know that

The scale of the drawing is $\frac{1}{30}$

That means ----> 1 cm on the drawing represent 30 cm in the actual

Using proportion

Find out the actual dimensions of the banner

Let

L  the actual length of the banner

W the actual width of the banner

For a length of 4 cm in the drawing

$\frac{1}{30}=\frac{4}{L}\\ \\ L=30*4\\ \\L=120\ cm$

Convert the actual length to meters

$L=120/100=1.2\ m$

For a width of 9 cm in the drawing

$\frac{1}{30}=\frac{9}{W}\\ \\ W=30*9\\ \\W=270\ cm$

Convert the actual width to meters

$W=270/100=2.7\ m$

Find the area of the banner

$A=1.2*2.7=3.24\ m^{2}$