Activities

1. Define perimeter.
   
   
2. Determine the perimeter of the shape below.

3. What is the perimeter of the parallelogram below?

4. If the side of a regular hexagon is 8 inches, what is the perimeter?

5. The perimeter of the shape below is 60 inches.  Find the length of the missing side.  Show your work.

6. Rasheem just bought a new home with a rectangular backyard.  He wants to fix up his yard by putting a fence around it and putting down some new sod.  If the dimensions of his backyard are 80 feet by 60 feet, how much fencing and sod will he need to purchase?  Show your work.
   
   
7. Create a rectangle with the same area as the one shown below, but with a larger perimeter.  Show your work.

Answer Key/Rubric

1. Perimeter is the distance around the outside of a figure.
   
   
2. 18 meters
   
   
3. 82 feet
   
   
4. 48 inches
   
   
5. 6 inches
   Work may include, but is not limited to:

• Add up all the given sides
  18 + 4 + 15 + 4 + 2 + 2 + 9 = 54
• Subtract the total perimeter minus what is given to find the missing side
  60 – 54 = 6

6. Fencing:  280 feet
   Sod:  4,800 ft²
   Work may include, but is not limited to:

• Fencing – find the perimeter of the backyard
  80 + 80 + 60 + 60 = 280
• Sod – find the area of the backyard

A = l × w
A = 60 × 80
A = 4800

7. Answers may include one of the following sets of dimensions: 1 in x 24 in or 2 in x 12 in
   Work may include, but is not limited to:

• Find the perimeter and area of the given rectangle.

A = l × w
A = 3 × 8
A = 24

P = 3 + 3 + 8 + 8
P = 22

• List other possible rectangles with the same area

1 x 24
2 x 12
4 x 6

• Calculate the perimeter of the new rectangles

1 x 24                                      2 x 12                                      4 x 6
P = 1 + 1 + 24 + 24                  P = 2 + 2 + 12 + 12                  P = 4 + 4 + 6 + 6
P = 50                                      P = 28                                      P = 20

• Perimeter needs to be larger than 22, so the 4 x 6 will not work

20 < 22