Question

A square garden each of which is 20 m is traversed centrally by two paths at right angles to each other and is thus divided into four beds. If the paths are respectively 2m and 3m wide,find the area of each bed.

Answer 1

we know the length:20 m

                      breath :20 m

                       so area of whole square will be 20*20=400 m square

           now the area of 2 meter wide path=  2*20=40 m square

and th area of 3 meter wide path=  3*18= 54 m square  (18 because it's 2 meter is already covered by 2 meter wide path as they intersect each other )

total area= paths will be 54+40=94 m square.

area of all four beds will be 400-94=306 m square.

it is a square so all beds will have  same area then,

area of 1 bed =306/4=76.5

answer  :       76.5 m square