Question

The cost of fencing a square field is ₹252at4.50per sq.m. find the length of the field and its area

Answer 1

Area of field=total cost of field/cost of per metre square
=(252/4.50)m^2
=[(252×100)/450]m^2
=56m^2

Area of square filed=56m^2
side×side=56m^2
(side)^2=56m^2
side=(androot56)m
side=2androot14=length

Answer 2

The length of the field and its area is 14 m and 196 sq.m. respectively.

Step-by-step explanation:

Let the length of square field be x

Perimeter of square field = 4x

Cost of fencing 1 m. = Rs.4.5

Cost of fencing $4x = 4.5 (4x)$

We are given that The cost of fencing a square field is ₹252at4.50per sq.m.

So, 4.5(4x) = 252

$x=\frac{252}{4.5(4)}$

x=14 m

Area of square field = $Side^2 = 14^2 = 196 m^2$

Hence the length of the field and its area is 14 m and 196 sq.m. respectively.

#Learn more:

The area of a square field is 81 hectare .Find the cost of fencing the field at the rate of Rs 2.50per sq.m

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