the perimeter of a rectangle is 216 yards. the length and width of the rectangle are consecutive odd integers. if the length is the longer of the two dimensions, what is the width of the rectangle?

pls help!! urgent!!

Respuesta :

Answer:

  53 yards

Step-by-step explanation:

Let w represent the width. Then w+2 is the length, and the perimeter is ...

  P = 2(L+W) . . . . . . . . . formula for the perimeter of a rectangle

  216 = 2((w+2) +w) . . . . fill in values for length and width

  216 = 4w +4 . . . . . . simplify

  54 = w +1  . . . . . divide by 4

  53 = w . . . . . subtract 1

The width of the rectangle is 53 yards.