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BECE Mathematics 2015 Paper

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Question : 40

Total: 40

A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?

$1:200$
$1:250$
$1:400$
$1:500$

Solution:

Concept:

Scale is the ratio of the diagram length to the actual length in the same unit.

Explanation:

Actual length of hall

= 20\,\text{m}

.

Convert metres to centimetres:

20\,\text{m} = 20 \times 100 = 2000\,\text{cm}

.

Diagram length

= 10\,\text{cm}

.

So scale

= 10\,\text{cm} : 2000\,\text{cm}

.

Divide both terms by

10

:

1 : 200

.

Answer:

The scale of the diagram is

1:200

.

Correct option: A.

1:200

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