carolinethaxton258 carolinethaxton258

06-11-2019
Mathematics

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The perimeter of a rectangle is 30 cm the length is 9 cm long longer than the width what are the length and width of the rectangle

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KaptenASP KaptenASP

06-11-2019

Step-by-step explanation:

perimeter = 2(length) + 2(width)

let x represent the width of the rectangle

[tex]30 = 2x + 2(x + 9)[/tex]

[tex]30 = 4x + 18[/tex]

[tex]12 = 4x[/tex]

[tex]x = 3[/tex]

therefore width = 3 cm

length = 3+9

= 12cm

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