naana123nyamekye naana123nyamekye
  • 23-09-2020
  • Mathematics
contestada

The length of a rectangle is four times its width.
If the area of the rectangle is 100yd2 , find its perimeter.


Respuesta :

andrewsoldatov andrewsoldatov
  • 23-09-2020

Answer:

Pretty Simple!

Step-by-step explanation:

First, what you have to know is that the formula for the area of a rectangle is:

[tex]LW=A[/tex]

(Length times Width equals the Area.)

Knowing this, we can input 100yd^2 into the equation.

[tex]LW=100[/tex]

Also, we know that the Length is equal to four times the Width.

Meaning that, we can substitute L with 4W.

Thus:

[tex]4W^{2}=100[/tex]

So, all we have to do now is solve!

[tex]W=5[/tex]

Now, multiply that by 4, and we get 20:

[tex]L=20[/tex]

That's it!

Happy Algebra/Geometry!

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