Two crossroads each of which 10 m ,cut at right angles through the centre of a rectangular park of length 70 m and breadth 30 m and parallel to its sides.Find the area of remaining park.
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Solution :
• Length of the rectangular park : 70 m
• Breadth of the rectangular park : 30 m .
Two cross roads , each of width 10 m are drawn .
Total area of the park :
=> Length × Breadth
=> 70 m × 30 m
=> 2100 m²
Now , let us find the area of the roads and subtract from the total area to get the remaining area .
Area of Roads :
=> 10 × Breadth + 10 × Length - 10 × 10 ( Overlapping area)
=> 10 × 70 + 10 × 30 - 100
=> 700 + 300 - 100
=> 900 m²
Remaining area :
=> 2100 m² - 900 m²
=> 1200 m² .
Answer : The area of the remaining park is 1200 m² .
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