Ask questions and get helpful responses.

algebra 1a

The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What are the dimensions of the rectangle?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. Width = W.
    Length = W+1 cm.

    2W + 2(W+1) = 34.
    W = ?
    W+1 = ?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. L = Length

    W = Width

    The length is 1 cm longer than the width means:

    L = W + 1

    The perimeter of a rectangle:

    P = 2 W + 2 L

    P = 2 ( L + W )

    Replace P = 34 and L = W + 1 in this equation

    34 = 2 ( W + 1 + W )

    34 = 2 ( 2 W +1 )

    Divide both sides by 2

    17 = 2 W + 1

    Subtract1 to both sides

    16 = 2 W

    2 W = 16

    Divide both sides by 2

    W = 8 cm

    L = W + 1 = 8 + 1 = 9 cm

    P = 2 ( L + W )

    P = 2 * ( 9 + 8 )

    P = 2 * 17 = 34 cm

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. w=8 ? w+1=9? @henry2

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. you have an answer. Check to see whether it works!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    👤
    oobleck

Respond to this Question

First Name

Your Response

Still need help? You can ask a new question.