Question

A square has an area of 50 square cm. Which of the following best describes the square's perimeter? 1 O 12 O 14 cm 12 cm O 25 cm O 28 cm

Answer 1

The area of square goes by the formula:

`A=s^2`

Where

A is the Area

s is the side length

Given,

A = 50, the side length is:

`\begin{gathered} A=s^2 \\ 50=s^2 \\ s=\sqrt[]{50} \\ s=5\sqrt[]{2} \end{gathered}`

We want the perimeter of the square, which is:

`P=4s`

Where

P is perimeter

s is side length

So,

`\begin{gathered} P=4s \\ P=4(5\sqrt[]{2}) \\ P=20\sqrt[]{2} \\ P=28.28 \end{gathered}`

Rounded to nearest whole number: 28 cm