What is the area of this figure?
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Answer:
42 units squared
Step-by-step explanation:
break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.
so the area of the rectangle = l x w
= 4 x 7
= 28
the area of the triangle is ( l x w )/2
= (7 x 2)/2
= 7
the other triangle is the same too
so the area of that is also 7.
now add all areas,
7+7+28 = 42
Answer:
42 sq. units
Step-by-step explanation:
I don't know if there's an easier way to do this but this is what I came up with. We can break this hexagon into 2 triangles and a rectangle (the 1st triangle using the top 3 points, the 2nd using the bottom 3, and the rectangle using the "middle" ones).
Rectangle area: 7*4 = 28
Triangles (they are equal) : 2*(1/2*7*2) = 14
28+14 = 42