Question
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  1. The perimeter of a marker board is 48 inches. The
    length of the board is 14 inches. What is the width of the
    board?

Ask by Luna Sandoval. in the United States
Mar 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The width of the board is 10 inches.

Solution

  1. The formula for the perimeter of a rectangle is
  2. Substitute the given values ( inches and inches) into the formula:
  3. Divide both sides by 2 to simplify:
  4. Subtract 14 from both sides to isolate :
The width of the board is inches.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Bonus Knowledge

To find the width of the marker board, you can use the formula for the perimeter of a rectangle, which is , where is length and is width. Since the perimeter is 48 inches and the length is 14 inches, you can set up the equation: . Simplifying this, you find that , leading to inches.
Now, you’ve got a fun fact: Did you know that the concept of the rectangle’s geometry dates back to the ancient Egyptians? They used simple measurements (like ropes in predetermined lengths) to create fields and layouts, a practical application of geometry that helped them build the pyramids! It just shows how foundational shapes have been in human history!

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