Question

A rectangular swimming pool measures 50 meters in length and 25 meters in width. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters.

Answer 1

10 cm and 5 cm.

Explanation:

The length of a rectangular swimming pool = 50 meters

The width of the swimming pool = 25 meters

Scale is 1 centimeter = 5 meters

Then length of Scale drawing =
`(50)/(5)`

= 10 centimeters

The width of scale drawing =
`(25)/(5)`

= 5 centimeters

Therefore, the scale drawing of the swimming pool measures 10 cm in length and 5 cm in width.

Answer 2

The new dimension of the pool will be 10cm by 5cm where 1 centimeter represents 5 meters.

Scaling is a way of resizing an object. It can either be to enlarge or reduce the object.

Given the measurement of a rectangular pool to be 50m by 25m

Making a scale drawing of the pool where 1cm represents 5 meters that is:

1 cm = 5m .... 1

For the length;

L = 50 m ..... 2

Divide both expressions 1 and 2;

`(1)/(L)= (5)/(50)\\5L =50\\L =(50)/(5)\\L=10cm`

For the width:

Original width = 25 meters

Get the new width

`(1)/(W)= (5)/(25)\\5W =25\\W =(25)/(5)\\W=5cm`

This shows that the new dimension of the pool will be 10cm by 5cm

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