quadrilaterals

Let’s split the parallelogram

Think back to your work in previous chapters. When you needed

to find the total area of a shape you were unfamiliar with, you split

your shape up into other simpler shapes you were more familiar

with.

If you look carefully, you’ll see that the parallelogram is actually

made up of a central rectangle, with a right angle triangle on either

end. This means that to find the area of the parallelogram, we can

find the areas of these shapes, and then add them up together.

You can spli

t a para

llelogram int

o

a r

ec

tangle and t

w

o tr

iangles.

What’s the total area of the lawn that Edward has asked you to

mow? How much should you charge? We’ve added on some extra

measurements to get you started.

18 meters

16 meters

20 meters

20 meters

12 meters

12 meters

18 meters

you are here 4 239

sharpen solution

What’s the total area of the lawn that Edward has asked you to

mow? How much should you charge?

18 meters

16 meters

20 meters

20 meters

12 meters

12 meters

18 meters

Area triangle 1 = 12 x 16 x 1/2

= 96 meters

2

Area of parallelogram = Area triangle 1 + Area rectangle + Area triangle 2

=96 + 288 + 96

= 480 meters

2

Charge = $0.10 x 480 = $48.00

Area triangle 2 = 12 x 16 x 1/2

= 96 meters

2

Area rectangle = 18 x 16

= 288 meters

2

240 Chapter 6

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