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?

Question

Kyle

Mathematics

7 November, 10:07

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?

+5

Answers (2)

Know the Answer?

Karina Stanley · Answer 1

Answer:the answers A

Step-by-step explanation:

(To sum up what the guy said)

Romeo Hanna · Answer 2

Here we have the equation given which is 2 (8-2x) + 2 (4-2x) = 18.

Here x is the width and 18 is the perimeter. We need to find the width that is we have to solve for x.

And to solve for x first we distribute 2 on 8-2x and 2 on 4-2x.

2 * 8 + 2 * (-2x) + 2 (4) + 2 (-2x) = 18

16-4x+8-4x=18

Now we combine the like terms.

16+8 - 4x-4x=18

24 - 8x = 18

Now we need to move 24 to the right side, and for that we subtract 24.

24-8x-24 = 18-24

-8x = -6

Now we need to get rid of - 8 and for that we divide both sides by - 8.

x = 6/8 = 3/4.