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There seem to be some misprints in the above diagram. If the park is in the shape of a regular octagon, then distance between parallel sides at boths ends will be 10/√2 + 10 + 10/√2 = 24 meters approximately..
(Each side of the octagonal park = a = 10m.)
But in the diagram those dimensions are shown as 26 m and 22 m (width of Grass part).
If the park is NOT a regular Octagon then:
Vertical Sides of the two triangles next to flower beds:
(26 - 10)/2 = 8 m.
So horizontal sides of those triangles = √(10² - 8²) = 6 m.
Total Area of the two triangles on the right top and bottom:
= 2 * 1/2 * 6 * 8 = 48 m²
Each Flower bed :
= rectangle + triangle on the left side
= (22 - 6 - 6) m X 8 m + 1/2 * 6 * 8 m²
= 80 + 24 = 104 m²
Both flower beds (area) = 208 m²
Grass portion = 10 X 22 m = 220 m²
Total area of the park = 208 + 220 + 48 = 476 m²
(Each side of the octagonal park = a = 10m.)
But in the diagram those dimensions are shown as 26 m and 22 m (width of Grass part).
If the park is NOT a regular Octagon then:
Vertical Sides of the two triangles next to flower beds:
(26 - 10)/2 = 8 m.
So horizontal sides of those triangles = √(10² - 8²) = 6 m.
Total Area of the two triangles on the right top and bottom:
= 2 * 1/2 * 6 * 8 = 48 m²
Each Flower bed :
= rectangle + triangle on the left side
= (22 - 6 - 6) m X 8 m + 1/2 * 6 * 8 m²
= 80 + 24 = 104 m²
Both flower beds (area) = 208 m²
Grass portion = 10 X 22 m = 220 m²
Total area of the park = 208 + 220 + 48 = 476 m²
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above answer is right for the question
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