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Sabrina has a rug with a perimeter of 18 feet. She decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. The border is the same width all the way around. The equation which represents x, the width of the border is 2(8-2x)+ 2(4-2x)=18. What is the width of the border?

a. 3/4

b. 1 1/2

c. 1 ft

d. 3 ft

Answer :

Paschelle
The answer is a.3/4ft
mixter17

Hello!

The answer is: a. [tex]\frac{3}{4}[/tex]

Why?

Since we are given the equation which represents the width of the border (x) we only need to isolate the variable (x), so:

[tex]2(8-2x)+2(4-2x)=18\\16-4x+8-4x=18\\24-8x=18\\8x=24-18\\8x=6\\x=\frac{6}{8}=\frac{3}{4}[/tex]

So, the width of the border is: [tex]\frac{3}{4}[/tex]

Have a nice day!

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