Question

Please and thank you

Answer 1

The given polygon is a square which means its all sides will be equal.

According to the above statement:-

`\tt \: x ^(2) + x = x ^(2) + 4`

Let's solve it ~

`\tt \cancel{x ^(2) } + x = \cancel{x ^(2) } + 4`

`\tt \: x = 4`

`\rule{300pt}{3pt}`

`\huge{|\underline{\mathtt{\red{S}\blue{i}\orange{d}\pink{e}\blue{s}\purple{:}\green{-}\red{}\blue{}\orange{}}}}`

`\sf \: x ^(2) + x \\ \sf \: 4 ^(2) + 4 \\ \sf \: 16 + 4 \\ \sf \: 20`

Thus, The sides of the polygon will be 20cm each!

Answer 2

`\huge\boxed{\sf x = 4}`

Explanation:

If the given polygon is a regular polygon, its sides are equal.

This means:

`x^2+4=x^2+x`

Subtract
`x^2` to both sides

4 = x

OR

x = 4

`\rule[225]{225}{2}`

Hope this helped!

~AH1807