Question

A square garden has a side of 250 meter. To put a wire fencing around this, what is the length of wire required?

Answer 1

Hint: Draw a square ABCD. In a square all sides are equal. Thus the length of wire required will be the perimeter of square garden ABCD which is given as (4 \[\times \] side).

Complete step-by-step answer:
We have been told that a square garden has a side of 250 meters.

Let us consider ABCD as the square garden with side 250m. From the properties of squares we know that in a square all the sides are equal and are perpendicular to each other. Thus from the square ABCD we can say that the sides AB, BC, CD and AD are equal. Thus we can say that,
AB = BC = CD = AD = 250m.
Now we are asked to put a wire fence around this square garden. To put a fence around the garden, we need to know the perimeter of the square garden ABCD.
The perimeter of the square garden is the sum of all the sides of the square. We can find the perimeter using the formula = 4 \[\times \] side.
\[\therefore \] Perimeter of the square garden ABCD = 4 \[\times \] side = 4 \[\times \] 250 = 1000m.
Thus the length of wire required for fencing is the perimeter of the square garden which is equal to 1000m.
Thus we got the length of wire required as 1000m.

Note: We can also find the perimeter by adding all the four sides. Perimeter = AB + BC + CD + AD = 250 + 250 + 250 + 250 = 1000m. But it is easier to use the formula of (4 \[\times \] sides). Hence in either way the answer is the same.