Question

A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.

Answer 1

9514 1404 393

Answer:

• 70 ft long
• 61 ft wide

Step-by-step explanation:

Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...

  P = 2(L+W)

Filling in the known information, we have ...

  262 = 2((w+9) +w)

  131 = 2w +9 . . . . . . . divide by 2

  122 = 2w . . . . . . . . . subtract 9

  61 = w . . . . . . . . . . . divide by 2 (width)

  w+9 = 70 . . . . . . . . length

The length of the garden is 70 feet; the width is 61 feet.