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Helpppp: Find the area of the figure.

Helpppp: Find the area of the figure.-example-1

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Explanation:

in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.

what simple figures can we see here ?

I see a rectangle 80m × 130m.

and that leaves for me a right-angled triangle in the upper right corner with the legs of

250-80 = 170 m and 130-50 = 80 m

the area of a rectangle is

length × width

the area of a right-angled triangle is

leg1 × leg2 / 2

the individual areas are

80×130 = 10,400 m²

170×80/2 = 170×40 = 6,800 m²

and that gives us a total for the whole area

10400 + 6800 = 17,200 m²

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