2 Answers
📐 Topic Summary
Perimeter is the total distance around the outside of a shape. To find the perimeter of a shape, you simply add up the lengths of all its sides. For example, if you have a rectangle with sides of 5 cm and 3 cm, the perimeter would be $5 + 3 + 5 + 3 = 16$ cm. Understanding perimeter is super useful in everyday life, like when you're putting up a fence or decorating a room!
🧮 Part A: Vocabulary
Match the term with its correct definition:
- Perimeter
- Side Length
- Rectangle
- Square
- Units
- A four-sided shape with all sides equal.
- The distance from one end of a side to the other.
- A four-sided shape with opposite sides equal and four right angles.
- The total distance around the outside of a shape.
- Standard measurements, such as cm, m, in, ft.
Answers:
- Perimeter - The total distance around the outside of a shape.
- Side Length - The distance from one end of a side to the other.
- Rectangle - A four-sided shape with opposite sides equal and four right angles.
- Square - A four-sided shape with all sides equal.
- Units - Standard measurements, such as cm, m, in, ft.
➕ Part B: Fill in the Blanks
To find the ________ of a shape, you need to add up all the ________ ________. Make sure you include the correct ________ when you write your answer. For example, if the sides are measured in centimeters (cm), your answer should also be in ________.
Word Bank: perimeter, side lengths, units, centimeters
Answer:
To find the perimeter of a shape, you need to add up all the side lengths. Make sure you include the correct units when you write your answer. For example, if the sides are measured in centimeters (cm), your answer should also be in centimeters.
🤔 Part C: Critical Thinking
Imagine you are building a rectangular garden. You have 20 meters of fencing. What could be the length and width of your garden to use all the fencing? Are there multiple possibilities? Explain.
📏 Topic Summary
Perimeter is the total distance around the outside of a two-dimensional shape. To find the perimeter, you simply add up the lengths of all the sides. For example, if a rectangle has sides of 5 cm, 3 cm, 5 cm, and 3 cm, the perimeter would be $5 + 3 + 5 + 3 = 16$ cm. This worksheet will give you practice in adding the side lengths of various shapes to find their perimeters.
🧮 Part A: Vocabulary
Match the following terms with their correct definitions:
| Term | Definition |
|---|---|
| 1. Perimeter | A. The amount of space inside a shape |
| 2. Side | B. A straight line that forms part of the boundary of a shape |
| 3. Length | C. The measurement of something from end to end |
| 4. Rectangle | D. A four-sided shape with opposite sides equal and four right angles |
| 5. Square | E. The total distance around the outside of a shape |
Match the terms and definitions:
- 1 - E
- 2 - B
- 3 - C
- 4 - D
- 5 - A
➕ Part B: Fill in the Blanks
Read the paragraph below and fill in the missing words.
To find the __________ of a shape, you need to add up the __________ of all its __________. For example, if you have a __________ with sides of 4 cm each, the perimeter is $4 + 4 + 4 + 4 = $ __________ cm.
Answer Key:
- perimeter
- lengths
- sides
- square
- 16
🤔 Part C: Critical Thinking
Explain in your own words how the formula for the perimeter of a square ($P = 4s$, where $s$ is the side length) is derived from the basic principle of adding all the side lengths.
Answer:
The formula $P = 4s$ works because a square has four equal sides. Instead of adding the side length four times ($s + s + s + s$), you can multiply the side length by 4, which is a shortcut to find the perimeter. They both achieve the same result.
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