Question

the length of wire is 12 cm .A square formed by folding it. 144cm is the area of square .true or false​

Answer 1

Answer:

it's True , beacuse squre all sides are same, so, One length can be given twelve cm, and

the formula of find Area is side multiple side so 12 multiple 12=144 ,so its true, please Mark brilliant

Answer 2

144 cm² is the area of square → False​

The given statement is false because 9 cm² is the area of the square formed by folding the given wire.

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Let's understand a few concepts:

We know that whenever a wire is folded and formed into a different figure like a square, rectangle, triangle etc, then the length of the wire is always equal to the perimeter of that particular figure.

To calculate the perimeter of a square we will use the following formula:

$\boxed{\bold{Perimeter\:of\:a\:square = 4 \times side }}$

To calculate the area of a square we will use the following formula:

$\boxed{\bold{Area\:of\:a\:square = side^2 }}$

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Let's solve the given problem:

The length of the wire = 12 cm

Let "a" cm be the length of the side of the square.

Since the square is formed by folding the entire wire, therefore, we get Length of the wire = Perimeter of the square

$\implies 12 = 4 \times a$

$\implies a = \frac{12}{4}$

$\implies a = 3\:cm$

Now,

The area of the square is,

= a²

= 3²

= 9 cm²

Thus, the given statement that the area of the square is 144 cm² is False.

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