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Question

A path $$1\ m$$ wide is built along the border and inside a square garden of side $$30\ m.$$ Find the area of the path.

Solution
Verified by Toppr

Side of the square garden$$=30$$m and width of the path along the border$$=1$$m

Side of square garden without path$$=30-(1+1)=30-2=28$$m

Now, Area of path$$=$$Area of ABCD$$-$$Area of EFGH
$$=(AB\times AD)-(EF\times EH)$$
$$=(30\times 30)-(28\times 28)$$
$$=900-784$$
$$=116m^2$$.

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