a rectangular field is 280 m long and 100 m wide .two cross road, and parallel to the length of field and the other parallel to the breadth of the field are constructed at the centre of the field if each of the road 12 m broad, find the following :
A.area of cross roads
B.area of remaining field
Answers
Area of the cross roads = 4416 m²
Area of the remaining field = 23584 m²
Solution:
Length of the field = 280 m
Breadth of the field = 100 m
Breadth of the road parallel to the length of the field = 12 m
Area of the road parallel to the length of the field
= 280 × 12
= 3360 m²
Length of the road parallel to the breadth of the field = 100 m
Area of the road parallel to the length of the field
= 100 × 12
= 1200 m²
Area of common road = side × side
= 12 × 12
= 144 m²
Area of the cross roads = 3360 m² + 1200 m² – 144 m²
= 4416 m²
Area of the cross roads = 4416 m²
Area of the field = length × breadth
= 280 × 100
= 28000 m²
Area of the field = 28000 m²
Area of the remaining field = 28000 m² – 4416 m²
= 23584 m²
Area of the remaining field = 23584 m²
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