Answer:
Width = 21731 inches .
Step-by-step explanation:
Given : A rectangle has a perimeter of 6x³+9x²-10x+7 and a length of x.
To find : find the width of the rectangle when the length is 19 inches
Solution : We have given
Perimeter = 6x³+9x²-10x+7
x = length
Length = 19.
Width = w .
By the formula of perimeter :
Perimeter = 2 ( length + width)
Plugging the values
6x³+9x²-10x+7 = 2 ( 19 + w).
x = 19 inches.
6(19)³+9(19)²-10(19)+7 = 2( 19 + w).
6(6859) + 9 ( 361) - 190 + 7 = 2 ( 19 + w).
41154 + 3249 -190 + 7 = 2 ( 19 + w).
43500 = 2 ( 19 + w).
On dividing both sides by 2
21750 = 19 + w.
On subtracting both sides by 19
w = 21750 -19.
w = 21731 inches.
Therefore, Width = 21731 inches .
