a grassy plot is 100mx80m two cross paths of five metre width are constructed at right angles through the centre of the field and parallel to the sides of the plot find out the total area used as path
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Area of plot= 100*80m
=8000 sq. m
Area of road parallel to length = 5*100
=500 sq. m
Area of road parallel to breadth =5*80
=400 sq. m
Area of part where two roads intersect =5*5
=25sq. m
We need to subtract area of part where two roads intersect as it is counted twice
Area of road with counting intersecting areas twice= 500*400
=200000sq. m
Actual area of roads= 200000-25sq. m
=199975 sq. m (Ans.)
=8000 sq. m
Area of road parallel to length = 5*100
=500 sq. m
Area of road parallel to breadth =5*80
=400 sq. m
Area of part where two roads intersect =5*5
=25sq. m
We need to subtract area of part where two roads intersect as it is counted twice
Area of road with counting intersecting areas twice= 500*400
=200000sq. m
Actual area of roads= 200000-25sq. m
=199975 sq. m (Ans.)
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