Question

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

itu,
the actual length, in m, of the banner.
the area, in m', of the banner.​

The diagram showed a banner with the length of 4cm and width of 9cm.
Thank you

Answer 1

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

Part 2) The area of the banner is
`3.24\ m^(2)`

Explanation:

we know that

The scale of the drawing is
`(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

`(1)/(30)=(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

`(1)/(30)=(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)`