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Concept Detail
Maths / Mensuration / Perimeter of Square
(A Brief Glimpse of ABHYAS Content - Have aLook !!!!)

## Perimeter of Square

A square is a quadrilateral in which it has 4 equal sides and all the interior angles of a square are right angles. It is a closed two-dimensional plane figure.

Perimeter of square = sum of length of 4 sides = side + side + side + side = 4 × side

If a square has a length of the side 'a' units, then the perimeter of the square = 4a units

Illustration: Find the perimeter of a square of side 5m.

Solution: Given: Side of square = 5m

Hence,  Perimeter = 4 X 5 = 20m

Illustration:  The perimeter of a square is 52 m. Find the side of the square.

Solution: Perimeter of square = 52 m. But perimeter of square = 4 × side

Therefore, 4 × side = 52 m

Therefore,

$\small side=\frac{52}{4}$

$\small side=13\;cm$

Illustration: Find the perimeter of a square of side $\small \frac{7}{8}\;dm$

.Solution: Given: Side of square = $\small \frac{7}{8}\;dm$

Hence,  Perimeter = $\small 4\times\frac{7}{8}$

$\small =\frac{7}{2}\;dm$

Illustration: Find the cost of fencing a square park of side 250 m at the rate of Rs. 20 per meter.

Solution: Given: Side of the square = 250 m

To fence a square park, we need to find the perimeter of the square park.

Hence perimeter of the square park = $\small 4\times$ side

= $\small 4\times$ 250

= 1000 m

As the cost of fencing 1 meter of square park = Rs. 20

Hence, the cost of fencing 1000 meters of square park = Rs. 20 $\small \times$ 1000

= $\small Rs.20,000$

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