the length of a rectangle is 4 more than the width. if the perimeter of the rectangle is 57.2 inches find the length and the width of the rectangle

Length = 16.3 in and Width = 12.3 in

Step-by-step explanation:

Let's name L the length and W the width of the rectangle. We can then write equations describing the statements given:

"the length of a rectangle is 4 more than the width"

L = W + 4

"the perimeter of the rectangle is 57.2 inches"

2 L + 2 W = 57.2

(where we used the formula for the perimeter of the rectangle equal to twice the rectangle's length plus twice the rectangle's width)

Now we use the first equation to substitute for L in the second one:

2 ( W + 4) + 2 W = 57.2

use distributive property to remove parenthesis

2 W + 8 + 2 W = 57.2

combine like terms

4 W + 8 = 57.2

subtract 8 from both sides

4 W = 57.2 - 8 = 49.2

divide both sides by 4 to isolate W

W = 49.2 / 4 = 12.3 in

Now we use this result in the first equation we wrote, to find L

L = W + 4 = 12.3 + 4 = 16.3 in

Therefore : Length = 16.3 in and Width = 12.3 in

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29