find the area of the polygon
Answers
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Answer:
301 m²
Step-by-step explanation:
We shall spilt the polygon into 3 figures, Figure A, B and C.
Find the area of Figure A:
It is a rectangle of length 25m by 6m
Area = Length x Breadth
Area = 25 x 6 = 150 m²
Find the area of Figure B:
It is a trapezoid.
Length of parallel side 1 = 25 - 11 = 14 m
Length of parallel side 2 = 10 m
Height = 19.5 - 6 - 5.5 = 8 m
Area = 1/2 (A + B) x height
Area = 1/2 (14 + 10) x 8 = 96 m²
Find the area of Figure C:
It is a rectangle of length 5.5m by 10m
Area = 5.5 x 10 = 55 m²
Find the area of the polygon:
Area = Figure A + Figure B + Figure C
Area = 150 + 96 + 55 = 301 m²
Answer: The polygon is 301 m².
