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spayn [35]
3 years ago
9

I need help with number 30 and please show work

Mathematics
2 answers:
vesna_86 [32]3 years ago
4 0
To find the area of a rectangle, the area equation is A= length X width. So you have to take all the rectangles and add the areas together to get the whole area of the polygon. 
So the left rectangle is 12 X 4 = 48. 
the middle bottom rectangle is 14 X 6= 84.
the top right triangle, is 5 X 4= 20. 

So then you add all of the areas together. 

48+84+20= 152. 

Area of the Polygon= 152 cm 
Lady bird [3.3K]3 years ago
3 0
30)

10 x 6 = 60
 11 x 4 = 44
12 x 4 = 48

60 + 44 + 48 = 152 cm^2

answer: area = 152 cm^2

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  • Part (a)   10*sqrt(13)
  • Part (b)   10*sqrt(5)

Those values are exact. They approximate to:

10*sqrt(13) = 36.0555

10*sqrt(5) = 22.3607

====================================================

Explanation:

Part (a)

If the unknown third side is the hypotenuse then we need to find the value of c when a = 20 and b = 30.

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a^2 + b^2 = c^2

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c = 36.0555 ...... approximate length

------------------------------------

Part (b)

If the third side is not the hypotenuse then that must mean c = 30 is the hypotenuse as this side is larger than the 20 cm side. The hypotenuse is always the longest side.

Let a = 20 be the known leg. Let's find the other unknown leg b using the pythagorean theorem.

a^2 + b^2 = c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

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b = sqrt(100)*sqrt(5)

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b = 22.3607 .......  approximate length

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