The factory makes a rectangular rug that is 4 feet long and 2 feet 6 inches wide.how much braid will hank need to cut to go all the way around

You require to find the perimeter of the carpet.

Perimeter = 2xLength + 2xWidth

Perimeter = 2 x 4 + 2 x 2ft 6 ins.

Perimeter = 8 + 5 ft

Perimeter = 13ft

13ft of braid is required.

Hope this helps:-)

He will need to cut 13 feet of braid to go all the way around.

work:

4+4=8 and 2.6+2.6=4.12

one foot = 12 inches, so 4.12= 5 feet

8+5= 13

(x+3)² = 64

Step-by-step explanation:

(x+a)² = b

so, let's see the details of the square calculation :

x² + 2ax + a² = b

so, now we have in our problem the specific equation

x² +3x - 69 = -3x - 14

now, let's group and combine all expressions of x

x² + 6x - 69 = -14

compare to the general square equation.

x² is in both expressions. nothing else needs to be done for that part.

2ax must be equal to 6x.

=> 2a = 6

a = 3

so, our general swathe square equation turns then into

(x+3)² = b. or

x² + 6x + 3² = b

x² + 6x + 9 = b

now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :

x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)

x² + 6x + 9 = 64

=> b = 64

so, the form (x+a)²=b for our specific equation is

(x+3)² = 64