The perimeter of a rectangular area is 16ft. Write an expression for the sum of the length and width.

Length + Width = 8 ft

Step-by-step explanation:

"The perimeter of a rectangle is 16 ft."

A perimeter is the sum of four sides of a rectangle.

OR...

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

A rectangle has "matching sides", so...

Length: Side 1 = Side 3

Width: Side 2 = Side 4

Therefore we can just say that:

Perimeter = (Length * 2) + (Width * 2)

We can pull the 2 out:

Perimeter = 2 * (Length + Width)

Since Perimeter = 18

16 = 2 * (Length + Width)

Divide both sides by 2

8 = Length + Width

Length + Width = 8 ft

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3