Question

How much wire will be required to fence a square field of area 441 square meters?

• A. 441 m
• B. 21 m
• C. 84 m
• D. 48 m

Answer 1

The correct option is C

84 m

Perimeter is the measure of distance of the boundary of a planar object. It is also defined as the total sum of lengths of all the bounding sides of a planar object.

The total length of wire required will be equal to the perimeter of the field.

The area of a square of side length 'a' units = $a^2$.
The area of the square field = $441m^2$
$\therefore$ Each of its side = $\sqrt{441}=\sqrt{21\times 21}=21m$
Perimeter of a square with side length 'a' units is 4a.

Perimeter of the given square = $4\times 21$ = 84 m
$\therefore$ The required length of wire for fencing = 84 m.