Question

Find the length of a side of a square with an area of 169 m^2.

Answer 1

Square is a closed figure bounded by four line segments.

Properties :

• All sides are equal

• All angles are equal

• Perimeter = 4 * side

• Area = side^2

In the present question, We are given Area of the square is 169m^2

Let us consider that, Side of this particular square is x m.

So, From the formula, It's quite clear that,

Area = x^2

Equating both we get,

x^2 = 169m^2

x = square root of 169

x = 13 m.

Therefore, We conclude that length of the side of this square is 13m.

Answer 2

Answer:

∴ The side of the square is 13 m.

Step-by-step explanation:

We know that the area of a square is obtained by squaring its side.

Here, Given area of square = 169 m²

Let the side of the square be a.

Then, by formula, area of square = a²

But the given area is 169 m².

So, clearly, a² = 169

⇒ a = √169

We know that 13*13 = 13² = 169.

So, √169 = 13

Hence, a = 13.

∴ The side of the square is 13 m.