A 3 metre wide path runs outside and around a rectangular park of length 125 and breadth 65 metre find the area of the path
Answers
Answer:
Length of rectangular park = 125 m,
breadth of rectangular park = 65 m and width of the path = 3 m Length of rectangular park with path
➪ 125 + 3 + 3 = 131 m
Breadth of rectangular park with path
➪ 65 + 3 + 3 = 71 m
Therefore Area of path
➪ Area of park with path – Area of park without path
➪ (AB x AD) – (EF x EH)
➪ (131 x 71) – (125 x 65)
➪ 9301 – 8125
➪ 1,176 m²
Thus, area of path around the park is 1,176 m².
Area Of Path = 1176 m
Step-by-step explanation:
GIVEN
Length = 125 m
Breadth = 65 m
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TO FIND
Area Of Path
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Area Of Rectangle Excluding Path
We know that,
Area Of Rectangle = Length × Breadth
Area Of Rectangle = 125 × 65
Area Of Rectangle = 8125
Area Of Rectangle = 8125 m
___________________________
Area Of Rectangle Including Path
We know that,
Area Of Rectangle = Length × Breadth
Here,
Length = 125 + 3 + 3 = 131 m
Breadth = 65 + 3 + 3 = 71 m
Area Of Rectangle = Length × Breadth
Area Of Rectangle = 131 × 71
Area Of Rectangle = 9301
Area Of Rectangle = 9301 m
___________________________
Area Of Path
We know that,
Area Of Path = Area Of Rectangle Including Path - Area Of Rectangle Excluding Path
Area Of Path = 9301 - 8125
Area Of Path = 1176