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Find the ⓐ perimeter and ⓑ area of the figure:
Find the ⓐ perimeter and ⓑ area of the figure:
A rectangle has four sides and four right angles. The opposite sides of a rectangle are the same length. We refer to one side of the rectangle as the length, $L,$ and the adjacent side as the width, $W.$ See [link] .
The perimeter, $P,$ of the rectangle is the distance around the rectangle. If you started at one corner and walked around the rectangle, you would walk $L+W+L+W$ units, or two lengths and two widths. The perimeter then is
What about the area of a rectangle? Remember the rectangular rug from the beginning of this section. It was $2$ feet long by $3$ feet wide, and its area was $6$ square feet. See [link] . Since $A=2\cdot 3,$ we see that the area, $A,$ is the length, $L,$ times the width, $W,$ so the area of a rectangle is $A=L\cdot W.$
For easy reference as we work the examples in this section, we will restate the Problem Solving Strategy for Geometry Applications here.
The length of a rectangle is $32$ meters and the width is $20$ meters. Find ⓐ the perimeter, and ⓑ the area.
ⓐ  
Step 1. Read the problem. Draw the figure and label it with the given information.  
Step 2. Identify what you are looking for.  the perimeter of a rectangle 
Step 3. Name. Choose a variable to represent it.  Let P = the perimeter 
Step 4.
Translate.
Write the appropriate formula. Substitute. 

Step 5. Solve the equation.  
Step 6.
Check:


Step 7. Answer the question.  The perimeter of the rectangle is 104 meters. 
ⓑ  
Step 1. Read the problem. Draw the figure and label it with the given information.  
Step 2. Identify what you are looking for.  the area of a rectangle 
Step 3. Name. Choose a variable to represent it.  Let A = the area 
Step 4.
Translate.
Write the appropriate formula. Substitute. 

Step 5. Solve the equation.  
Step 6.
Check:


Step 7. Answer the question.  The area of the rectangle is 60 square meters. 
The length of a rectangle is $120$ yards and the width is $50$ yards. Find ⓐ the perimeter and ⓑ the area.
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