ahoughton505 ahoughton505
  • 24-08-2022
  • Mathematics
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The length of a rectangle is three times it’s width, if the perimeter of the rectangle is 64ft what is the area

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profereyes12122
profereyes12122 profereyes12122
  • 24-08-2022

Answer:

A = 192 ft2

Step-by-step explanation:

[tex]p=2l+2w[/tex]

              [tex]l=3w[/tex]

[tex]p=2(3w)+2w=6w+2w=8w[/tex]

[tex]64=8w[/tex]

[tex]w=64/8 =8ft[/tex]

The area:

[tex]A=lw[/tex]

            [tex]l=3w=3(8)=24ft[/tex]

[tex]A=(24)(8)=192sqft[/tex]

Hope this helps

               

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