robertobustos1704 robertobustos1704
  • 04-02-2021
  • Mathematics
contestada

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

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yye104
yye104 yye104
  • 04-02-2021

Answer:

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

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