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Find the area of the concave polygon.

Find the area of the concave polygon.-example-1
User Hyangelo
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1 Answer

2 votes

Hi!

So to make life easier split the figure into 3 different shapes: 2 right triangles at the top and a rectangle.

Now the base of each triangle is half of 24 which is 12.

You have to find the height of the figure using the pythagorean theorem.

a^2+ b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a ^2 = 25

a = 5

now find the area of one triangle

(b*h) / 2

5*12=60

60/2 = 30

now multiply by 2 to have the area of both triangles

both triangles are 60

now subtract 5 from 30 to find the side length for the rectangle

30-5 = 25

multiply 24 and 25

24*25 = 600

now add 600 and 60 to find the area of everything

660 is the area

hope this helps!

User Datavoredan
by
8.4k points

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