Instructions
Hello! Today, we will learn about Perimeter and Area.
- Perimeter is the total distance AROUND the outside of a shape. To find it, you ADD the lengths of all the sides together.
- Area is the total space INSIDE a flat shape. To find the area of a square or rectangle, you MULTIPLY its length by its width.
Read each question carefully and write your answer. Good luck!
Part 1: Objective Questions
Circle or write the correct answer for each question.
- The distance around a shape is called its...
- Area
- Perimeter
- Volume
- The space inside a shape is called its...
- Area
- Perimeter
- Side
- To find the perimeter of a shape, you should...
- Add all the side lengths
- Multiply the side lengths
- Subtract the side lengths
- What is the perimeter of a square with a side length of 4 cm?
- 8 cm
- 12 cm
- 16 cm
- What is the area of a rectangle with a length of 5 cm and a width of 2 cm?
- 7 sq. cm
- 10 sq. cm
- 14 sq. cm
- A square has a side length of 3 cm. What is its area?
- 6 sq. cm
- 9 sq. cm
- 12 sq. cm
- Area is always measured in...
- Units
- Double Units
- Square Units
- A rectangle has sides of 6 cm and 4 cm. What is its perimeter?
- 10 cm
- 20 cm
- 24 cm
- If one side of a square is 5 cm, what is the length of the other three sides?
- 5 cm each
- 10 cm each
- It is impossible to know
- Which shape has a bigger area? A 3x4 rectangle or a 2x5 rectangle?
- The 3x4 rectangle
- The 2x5 rectangle
- They have the same area
- Fill in the blanks.
- To find the area of a rectangle, you multiply the length by the __________.
- A square has four __________ sides.
- The perimeter of a square with a side of 10 cm is __________ cm.
- The area of a square with a side of 10 cm is __________ sq. cm.
- The unit "sq. m" stands for __________ meters.
- Write True or False for each statement.
- Area and perimeter are always the same number. __________
- To find the perimeter of a triangle, you add the lengths of its three sides. __________
- The area of a rectangle with length 5 cm and width 1 cm is 6 sq. cm. __________
- A rectangle with a length of 6 cm and width of 2 cm has a perimeter of 16 cm. __________
- Multiplying the length and width of a rectangle gives you the perimeter. __________
Part 2: Subjective Questions
Show your work and write your answer for each question.
- A rectangle has a length of 7 cm and a width of 3 cm.
What is its perimeter? __________________
What is its area? __________________
- A perfect square has one side that is 5 cm long.
What is its perimeter? __________________
What is its area? __________________
- Maria wants to put a ribbon border around a square picture. One side of the picture is 8 cm long. How much ribbon does she need in total?
Answer: __________________
- A farmer wants to cover his rectangular field with new soil. The field is 10 meters long and 5 meters wide. What is the total area of the field he needs to cover?
Answer: __________________
- Draw a rectangle that has an area of 12 square units. Label the length and width of your rectangle.
- Draw a square that has a perimeter of 20 units. What is the area of this square?
Area: __________________
- A rectangle has a perimeter of 14 cm. Its length is 4 cm. What is its width? (Hint: Draw the rectangle and label the sides you know.)
Width: __________________
- Find the perimeter and area of a rectangle that is 9 cm long and 4 cm wide.
Perimeter: __________________
Area: __________________
- On a grid paper (or in the space below), draw two different rectangles that both have a perimeter of 16 units.
- Look at a door in your house. If you wanted to buy a new door, would you need to measure its area or its perimeter to make sure it fits the hole in the wall? Explain your answer.
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Answer Key
Part 1: Objective Questions
- b) Perimeter
- a) Area
- a) Add all the side lengths
- c) 16 cm (4+4+4+4)
- b) 10 sq. cm (5x2)
- b) 9 sq. cm (3x3)
- c) Square Units
- b) 20 cm (6+4+6+4)
- a) 5 cm each
- a) The 3x4 rectangle (Area is 12, while 2x5 is 10)
- width
- equal
- 40 cm
- 100 sq. cm
- square
- False
- True
- False (Area is 5x1 = 5 sq. cm)
- True (6+2+6+2 = 16 cm)
- False (It gives you the area)
Part 2: Subjective Questions
- Perimeter: 20 cm (7+3+7+3). Area: 21 sq. cm (7x3).
- Perimeter: 20 cm (5+5+5+5). Area: 25 sq. cm (5x5).
- 32 cm (8+8+8+8 = 32 cm).
- 50 sq. meters (10 x 5).
- (Many possible answers) Student should draw a rectangle with sides that multiply to 12. Examples: 1x12, 2x6, or 3x4. Sides must be labeled.
- Student should draw a 5x5 square. Area: 25 square units (Side length is 20/4=5, so Area is 5x5=25).
- Width: 3 cm (Two lengths are 4+4=8. Perimeter is 14. 14-8=6. The remaining 6 is for two widths, so each width is 3 cm).
- Perimeter: 26 cm (9+4+9+4). Area: 36 sq. cm (9x4).
- (Many possible answers) Student should draw two different rectangles where 2*L + 2*W = 16. Examples: 1x7, 2x6, 3x5, 4x4.
- Area. You need to know the total surface space (length times width) of the door to see if it will cover the opening in the wall. (Perimeter would just be the distance around the edge, which doesn't tell you if it will cover the hole.)