heyoooooitsme heyoooooitsme
  • 13-05-2022
  • Mathematics
contestada

The length of a rectangle is 5 feet less than its width. If the area of a rectangle is 84 square feet, find its dimensions.

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longkaitlin42 longkaitlin42
  • 13-05-2022

Answer:

7 x 12

Step-by-step explanation:

[tex]a=l *w[/tex]

[tex]84=l*w\\w=l+5\\[/tex]

these equations we know, so we can use them like this

[tex]84=l*(l+5)\\84=l^2 +5l\\[/tex]

I then plugged this equation into the desmos calculator to get the answer

[tex]l=7[/tex]

we then plug this into a previous equation

[tex]w=l+5\\w=7+5\\w=12[/tex]

to get our answer l=7, w=12

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