Sheep Pen Puzzle: Area & Perimeter Builder

• The Mission: 

  The sheep need a new home! You are the farmer, and you have received a specific construction order. You must draw a rectangular fence on the grass grid that matches the exact Area (space inside) AND Perimeter (length of the fence) requested on the sign.

  
  

• Math Skills:

  • Area vs. Perimeter: Distinguishing between space inside (L×W) and distance around (2L+2W).

  • Geometry: constructing shapes based on numerical constraints.

  • Multiplication & Addition: Using factors to find dimensions that satisfy two conditions at once.

    
    

• How to Play:

  1. Read the Sign: Look at the wooden sign board. It will ask for a specific Area (e.g., 12) and Perimeter (e.g., 14).

  2. Plan the Shape: Think before you draw!

     • Area 12 could be 2×6 or 3×4.

     • Check Perimeter: 2×6 has a perimeter of 16 (Too big). 3×4 has a perimeter of 14 (Correct!).

  3. Draw the Fence: Click and drag on the grid to draw the rectangle. You can toggle "Erase Mode" if you make a mistake.

  4. Watch the Stats: The live counter updates the Area and Perimeter as you draw.

  5. Submit: When your fence matches both numbers on the sign, click "Submit".

  

  
  

  羊圈拼圖：面積與周界建造師

• 任務簡介: 

  綿羊需要一個新家！身為農夫，你收到了一張建造訂單。你必須在草地網格上畫出一個矩形圍欄，使其 面積（內部空間）和 周界（圍欄長度）完全符合木牌上的要求。

  
  

• 數學技能:

  • 面積 (Area) vs 周界 (Perimeter): 區分圖形內部的空間 (長×闊) 與圍繞圖形的距離 (2×長+2×闊)。

  • 幾何構圖: 根據數字條件繪製圖形。

  • 乘法與加法: 運用因子概念找出同時滿足兩個條件的邊長。

    
    

• 玩法說明:

  1. 閱讀木牌: 看木牌上的要求。它會指定 面積（例如：12）和 周界（例如：14）。

  2. 規劃形狀: 畫圖前先思考！

     • 面積 12 可以是 2×6 或 3×4。

     • 檢查周界：2×6 的周界是 16（太大了）。3×4 的周界是 14（正確！）。

  3. 建造圍欄: 在網格上點擊並拖動以 繪畫 出矩形。如果畫錯了，可以切換「擦除模式」。

  4. 監察數據: 即時計數器會隨著你繪畫而更新當前的面積和周界。

  5. 提交: 當你的圍欄數據與木牌完全一致時，點擊 「提交」(Submit)。