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Chapter 10: Mensuration > Introduction

Introduction

In earlier chapters we have learnt about plane figures.

They are figures which contain points which can be represented using coordinates.

In the below figures, we have a few examples.

We can see that any shape consists of a boundary, the region contained within the boundary i.e. the and the region outside of the boundary i.e. the of the shape.

Now when it comes to shapes, one of the requirements we will face often in real-life situations, pertains to its boundary and the region contained within it.

1. Say, we need to fence a piece of land that we have to prevent entry of intruders. The land that we have has a particular shape.

How do we know the amount of wiring required to do the job?

2. In case we need to paint a blank wall in our house, how much cans of paint is required to get it done?

Such problems require us to understand perimeter and area. Let's look into it.

In the above figures, the boundary/outline of the figures is, in mathematical terms, considered the perimeter of the said figures.

The region contained within, by the outline or the perimeter is the area.

When to be used in real-life, we need to know how to calculate the perimeter or area (depending on our requirement) of the said shape.