When finding the area of a polygon, which of the following statements is TRUE?
1)You can find the polygon’s area by dividing it into triangle and rectangle sub-parts, and those subparts can contain gaps and overlaps.
2)You can find the polygon’s area by dividing it into triangle and rectangle sub-parts, as long as the sub-parts cover the polygon with no space and no overlap.
3)You can only find the polygon’s area if the polygon is regular.
4)You can only find the polygon’s area if the polygon is a triangle, rectangle, or square.
Answers
We can find the polygon’s area by dividing it into triangle and rectangle sub-parts, as long as the sub-parts cover the polygon with no space and no overlap.
Lets check each option one by one:
1)You can find the polygon’s area by dividing it into triangle and rectangle sub-parts, and those subparts can contain gaps and overlaps. - FALSE
If there is gap or overlap then adding area of subparts will not give exact area of polygon but less in case of gaps and more in case of overlaps.
2)You can find the polygon’s area by dividing it into triangle and rectangle sub-parts, as long as the sub-parts cover the polygon with no space and no overlap. - TRUE
As there is no space and no overlap hence adding area of all subparts will give exact area of polygon.
3)You can only find the polygon’s area if the polygon is regular. - FALSE
As explained in option2, area of any polygon can be calculated, Polygon need not to be regular
4)You can only find the polygon’s area if the polygon is a triangle, rectangle, or square. - FALSE
We can find area of pentagon , hexagon and so on.
Correct option is option 2:
2)You can find the polygon’s area by dividing it into triangle and rectangle sub-parts, as long as the sub-parts cover the polygon with no space and no overlap.
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