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?

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 .

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.