Question

A path of width 2m runs around outside a square field. If the total cost for the construction of the path is Rs720 at the rate of Rs 5 per square meter, find the area of he field.

Answer 1

Step-by-step explanation:

Width of field=2m

Total cost of construction of path=₹720

Cost to construct per meter of path=₹5

Path =

$total \: cost \: of \: path \: constructed \div cost \: of \: construction \: per \: meter$

=

$720 \div 5$

=144m.

Now,

As we know that all sides of square are equal

Therefore, length of each side =

$144 \div 4$

=36m.

Area of path =

$36 \times 2$

=72m.

Therefore, area of square =side *side

=

$72 \times 72$

=

$5184m {}^{2}$