Scale drawings: word problems
Key Notes :
Write the scale of the drawing as a fraction:
1 | cm |
6 | m |
Write an equivalent fraction with 30 metres as the denominator.
1cm×56m×5 | = | 5cm30m |
In the drawing, the lawn is 5 centimetres wide.
Learn with an example
👉Tony made a scale drawing of a swimming pool. The pool, which is 18 metres wide in real life, is 2 millimetres wide in the drawing.
What is the scale of the drawing?
1 millimetre : _____ metres
Write the ratio of the width of the pool in the drawing to the width of the actual pool. Write the ratio in fraction form.
2 mm / 18 m
Simplify the fraction.
2 mm ÷ 2 / 18 m ÷ 2 = 1 mm / 9 m
The scale of the drawing is 1 millimetre : 9 metres.
👉 Eva measured a summer camp and made a scale drawing. She used the scale 1 millimetre : 3 metres. If the sand volleyball court is 3 millimetres in the drawing .
How wide is the actual volleyball court?
_____ metres
Write the scale of the drawing as a fraction:
1 mm / 3 m
Write an equivalent fraction with 3 millimetres as the numerator.
1 mm × 3 / 3 m × 3 = 3 mm / 9 m
The actual volleyball court is 9 metres wide.
👉 Mitchell drew a scale drawing of a house and its lot. In real life, the front patio is 30 metres long. It is 3 centimetres long in the drawing.
What scale did Mitchell use for the drawing?
1 centimetre : _______ metres
Write the ratio of the length of the patio in the drawing to the length of the actual patio. Write the ratio in fraction form.
3 cm / 13 m
Simplify the fraction.
3 cm ÷ 3 / 30 m ÷ 3 = 1 cm / 10 m
The scale of the drawing is 1 centimetre : 10 metres.
let’s practice! 🖊️