Find the areas of these two shaded figures. Assume the angles that appear to be right are right angles. Figure 2: http://www.flickr.com/photos/93084714@N07/8593356500/in/photostream Figure 1:...

Find the areas of these two shaded figures. Assume the angles that appear to be right are right angles.

Figure 2:

http://www.flickr.com/photos/93084714@N07/8593356500/in/photostream

Figure 1:

http://www.flickr.com/photos/93084714@N07/8592257355/in/photostream

 

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durbanville | High School Teacher | (Level 2) Educator Emeritus

Posted on

I have answered the 2nd of your questions as it is the more difficult and you can use the principles you learn from this one for Figure 1. eNotes rules do not allow me to answer 2 seperate questions.

The shape is an irregular shape with a rectangle inside.To first deal with the inside shape- its measurements are 12 by 3 and as the area of a rectangle is A= l x b we can calculate

A= 12 x 3 = 36 cm`^2`  This will be excluded from our final measurement .

Now to split the shaded area up.There are 2 rectangles of :

7 x 8 = 2(56) = 112 cm`^2`

Then we must create a  further rectangle from the lengths

(2 x 7) + 4= 18 = length

15-8 = 7 = breath

18 x 7 = 126 cm`^2`

So the entire shape  = 112 + 126 = 238 cm`^2`

But there is the inside rectangle (not shaded) = 36 cm `^2`

`therefore A = 238-36`

`A=202 cm^2`

 

 

 

 

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