Question

a rectangular rose garden of size 25m * 8m is surrounded externally by a 3 m wide path. find the area of the path.

Answer 1

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Answer 2

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A rectangular grassy lawn measuring 30m by 28m is to be surrounded externally by a path which is 2m wide. Find the cost of leveling the path at the rate of Rs.5/m

2

.

Medium

Solution

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Length of lawn =30m

Breadth of lawn =28m

Therefore,

Area of lawn (A

1

)=l×b=30×28=840m

2

Now,

Length of lawn including path =30+2+2=34m

Breadth of lawn including path =28+2+2=32m

Therefore,

Area of lawn including path (A

2

)=34×32=1088m

2

Therefore,

Area of path =A

2

−A

1

=1088−840=248m

2

Cost of levelling =Rs.5 per square meter

Therefore,

Cost of levelling path =5×248=Rs.1240