Question

A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square.

What is the side length of the square in centimeters?

Answer 1

Side length (c) = 9 cm

Explanation:

Now we have to,

→ find the side length of the square.

Formula we use,

→ Area of square = (side)²

→ Area = (c)²

Then the value of c will be,

→ Area = (c)²

→ 81 = (c)²

→ (c)² = 81

→ c = √(81)

→ [ c = 9 cm ]

Hence, value of c is 9 cm.

Answer 2

9 cm

Explanation:

`\boxed{\begin{minipage}{4.5 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where:\\ \phantom{ww}$\bullet$ $A$ is the area\\ \phantom{ww}$\bullet$ $s$ is the side length\\\end{minipage}}`

Given:

• A = 81 cm²
• s = c

Substitute the given values into the formula:

`\implies 81=c^2`

`\implies √(c^2)=√(81)`

`\implies c=9`

Therefore, the side length of the square is 9 cm.