The cost of fencing a rectangular field at Rs. 18 per meter is Rs. 1980. If the width of the field is 23m, find its length.

Given :

The cost of fencing the rectangular field at Rs. 18 per square meter $= Rs. 1980$

The width of the field $= 23$ m

To do :

We have to find the length of the field.

Solution :

Let the length of the field be 'l' m.

We know that,

The area of a rectangle of length a and breadth b is $a\times b$.

The area of the rectangular field $= 23m \times l m = 23l m^2$

Cost of fencing 1 sq. m. $=$ Rs. 18

Cost of fencing $23l sq.m = Rs. 18 \times 23l$

Therefore,

$18\times 23l = 1980$

$l = \frac{1980}{18\times 23}$

$l = \frac{110}{23}$

$l = 4.78$ m.

The length of the field is 4.78 m.

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Updated on: 10-Oct-2022

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