Question

3. A park in the shape of a regular octagon has
flower beds as shown in the figure. Find the
area of the flower beds and the area of the
grassy portion. Also find the total area of the
park.
10 m
Flower
bed
26 m
22 m grass
10 m
Flower
bed​

Answer 1

Area of Grassy portion =  220 m² , Area of Two Flower Beds = 256 m² , Total Area of Park  = 476 m²

Step-by-step explanation:

Area of Grassy portion = 22 * 10 = 220 m²

Let say perpendicular height in one of the flower bed = h  

then in other flower bed = 26 - 10 - h  = 16 - h

Area of Two Flower Beds = (1/2) * (22  + 10) (h)  + (1/2) * (22  + 10) (16 - h)

= (1/2) 32 * 16

= 256 m²

Total Area of Park = 220 + 256  = 476 m²

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