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. A rectangle has a length of 8 feet and width of 4 feet. The equation which represents x, the width of the border is 2 (8 minus 2 x) + 2 (4 minus 2 x) = 18. What is the width of the border? Three-fourths ft 1 and one-half ft 1 ft 3 ft

Respuesta :

Answer:

3/4 ft.

Step-by-step explanation:

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

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

The width of the border is 3/4.

What is perimeter of rectangle?

The perimeter of rectangle is, P= 2(l + b).

Given:

length= 8 feet, width = 4 feet

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

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

Hence, the width of the border is 3/4.

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