Question

18. A rectangular grassy plot is 56 m and 39 m broad.
It has a gravel path 2.5 m wide all around it along
its side. Find the area of the path and the cost of
constructing it at ₹4.50 per square metre.​

Answer 1

Answer:

Length of plot =56m

Breadth of plot =39m

Area =l×b

=56m×39m

=2184m

2

→ In rectangle ABCD

Length =56m+2.5m+2.5m

=61m

Breadth =39m+2.5m+2.5m

=44m

Area =l×b

=61m×44m

=2684m

2

→ Area of path = Area of ABCD− Area of plot

=2684m

2

−2184m

2

=500m

2

→ Cost of constructing =24.50 per square m.

=500m

2

×24.50

=22250 Ans.

Answer 2

Answer:

Length of plot =56m

Breadth of plot =39m

Area =l×b

=56m×39m

=2184m

2

→ In rectangle ABCD

Length =56m+2.5m+2.5m

=61m

Breadth =39m+2.5m+2.5m

=44m

Area =l×b

=61m×44m

=2684m

2

→ Area of path = Area of ABCD− Area of plot

=2684m

2

−2184m

2

=500m

2

→ Cost of constructing =24.50 per square m.

=500m

2

×24.50

=22250