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A rectangle has length 14 cm and width 4cm what is the area of a square that has the same perimeter as the rectangle?


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Answer:

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Step-by-step explanation:

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iciclepiano18

Answer:

81 cm²

Step-by-step explanation:

Start by finding the perimeter of a rectangle.

[tex]Perimeter = 2(l+w)[/tex]

Plug in the given values into the equation:

[tex]Perimeter=2(14+4)=2(18)=36\ cm[/tex]

Since the perimeter of a square is:

[tex]Perimeter = 4s[/tex]

We can plug 36 cm in for the perimeter to solve for s

[tex]36\ cm=4s[/tex]

Divide both sides by 4

[tex]s=9\ cm[/tex]

The area of a square is:

[tex]Area=s^2[/tex]

Plug in the 9 cm for s

[tex]Area=9^2=81 \ cm^2[/tex]

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