coleryanwilson
Answered

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ujalakhan18

Answer:

[tex]\huge\boxed{\sf x = 4}[/tex]

Step-by-step explanation:

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

This means:

[tex]x^2+4=x^2+x[/tex]

Subtract [tex]x^2[/tex] to both sides

4 = x

OR

x = 4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

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

According to the above statement:-

[tex] \tt \: x ^{2} + x = x ^{2} + 4[/tex]

Let's solve it ~

[tex] \tt \cancel{x ^{2} } + x = \cancel{x ^{2} } + 4[/tex]

[tex] \tt \: x = 4[/tex]

[tex]\rule{300pt}{3pt}[/tex]

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

[tex] \sf \: x ^{2} + x \\ \sf \: 4 ^{2} + 4 \\ \sf \: 16 + 4 \\ \sf \: 20[/tex]

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

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