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The length of a rectangle is two feet greater than twice its width. If the perimeter is 25 feet, find the width.”

Respuesta :

Hello!

To solve this problem, we will use substitution and a system of equations where L=length and w=width.

L=2+2w
2L+2w=25

We know that L equals 2+2w. Lets plug that into the bottom equation and find w.

2(2+2w)+2w=25
4+4w+2w=25
4+6w=25
6w=21
w=3.5

Now that we know w, we can find L. 

L=2+7
L=9

We have found the width, but lets check our answer with the system of equations.

9=2+7
18+7=25

The width is 3.5 feet.

Hope this helps!




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