Questions: Find the perimeter. The perimeter is yards.

Find the perimeter. The perimeter is yards.
Transcript text: Find the perimeter. The perimeter is $\square$ yards.
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Solution

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Solution Steps

Step 1: Identify all the sides of the shape

The given shape is a complex polygon. We need to identify and list all the sides:

  • Top side: 6 yd + 4 yd = 10 yd
  • Bottom side: 12 yd
  • Left side: 8 yd
  • Right side: 8 yd
  • Inner vertical sides: 5 yd each (2 sides)
  • Inner horizontal side: 2 yd (12 yd - 6 yd - 4 yd)
Step 2: Sum all the sides

Add up all the sides to find the perimeter:

  • Top side: 10 yd
  • Bottom side: 12 yd
  • Left side: 8 yd
  • Right side: 8 yd
  • Inner vertical sides: 5 yd + 5 yd = 10 yd
  • Inner horizontal side: 2 yd
Step 3: Calculate the total perimeter

Sum the lengths of all the sides: \[ 10 \, \text{yd} + 12 \, \text{yd} + 8 \, \text{yd} + 8 \, \text{yd} + 10 \, \text{yd} + 2 \, \text{yd} = 50 \, \text{yd} \]

Final Answer

The perimeter is 50 yards.

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