Question

the diagram shows a scale drawing of a playground. The scale of the drawing is 1:500. Work out the perimeter. Give answer in metres

Answer 1

Answer:

The perimeter of the playground is 65 metres

Step-by-step explanation:

Questions like this requires attachment; See attachment for diagram.

From the diagram, we have the following parameters

$Length = 2cm$

$Width = 4.5cm$

Required

Calculate the parameter of the actual diagram

First, the actual length and width has to be calculated;

Given that the scale drawing is 1:500

$Actual\ Length = 500 * 2cm = 1000cm$

$Actual\ Width = 500 * 4.5cm = 2250cm$

Now, the perimeter can be calculated;

$Perimeter\ of\ a\ Rectangle = 2(Length + Width)$

$Perimeter = 2(1000cm + 2250cm)$

$Perimeter = 2(3250cm)$

$Perimeter = 6500cm$

However, the question requires answer to be in meters

If 100 cm = 1 m, then

$6500cm = \frac{6500m}{100}$

$6500cm = 65m$

Hence, the perimeter of the playground is 65 metres