Question

Anirudh has a square quilt of area 4096 sq.cm. What is the length of the side of the quilt in metres​

Answer 1

Answer:

s = $\frac{16}{25}$ m or 0.64 m.

Step-by-step explanation:

All four sides of a square are equal.

The area of a square can be represented as s x s, where s is the side length of a square.

Using this principle,

s x s = 4096.

After prime factorising, or just factorising this number, 4096 is found out to be a square of 64.  

If you're unclear as to what factorising means, it's finding out the numbers that can divide another number.

Multiplying and checking the combination that fits this square, will end up giving 64 and 64.

Since all sides of a square are equal, this is the only side length combination that gives the required area.

$s = 64$ $cm$.

However, the questions asks for the side length in m.

100 cm = 1 m.

s = $\frac{64}{100}$ m.

s = $\frac{16}{25}$ m or 0.64 m.

Answer 2

Answer:

s = 16/25 m or 0.64 m.