Everything Maths Grade 10

13 Measurements

Knowing how to calculate the surface area and volume
of an object can be useful in many contexts, particularly
when we need to know how much a task is going to cost
or how much material is needed to create an object.
Some examples of this are calculating the surface area of
a container, to help us work out the cost of the material,
or calculating the volume of a dam, so we know how
much water the dam can hold.
This chapter examines the surface areas and volumes of
three dimensional objects, otherwise known as solids.
In order to work with these objects, you need to know
how to calculate the surface area and perimeter of two
dimensional shapes.

Figure 13.1:A tennis court. The position of each of the lines

is carefully calculated to ensure that the area of the rectangles

is the same anywhere in the world.

VISIT:

To revise how to calculate the area and perimeter of squares and rectangles you can watch the video below.

See video:2GRMatwww.everythingmaths.co.za

13.1 Area of a polygon EMA7K

DEFINITION: Area

Area is the two dimensional space inside the boundary of a flat object. It is measured in square units.

Name Shape Formula

Square

s

s area (A)=s 2

Rectangle

h

b area (A)=bh

Triangle

h

b area (A)= 1

2 bh

Trapezium

h

b

a

area (A)=^12 (a+b)h

Parallelogram

h

b area (A)=bh

Circle

r

area (A)=r^2 (circumference= 2r)

416 13.1. Area of a polygon