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Perimeter on a grid | Year 4 Mathematics PDF Download
Understanding Perimeter on a Grid
In the realm of geometry, the perimeter refers to the total distance around a two-dimensional shape. This can be determined by summing up the lengths of all its sides.
Example
Example: Rectangular Shape
Let's delve into a scenario where a rectangle is depicted on a square grid, with each square equivalent to 1 cm.
To determine the rectangle's perimeter, add the lengths of all sides.
Using the squares, you can ascertain the length of each side:
- The length measures 4 squares or 4 cm.
- The width of the rectangle measures 7 squares or 7 cm.
Sum up all the sides: 7 cm + 7 cm + 4 cm + 4 cm = 22 cm.
An alternative method involves counting the squares around the shape's perimeter.
Perimeter of Rectilinear Shapes
How do you find the perimeter of a rectilinear shape?
A rectilinear shape has straight sides that intersect at right angles.
You can calculate its perimeter just like any other shape, but with more sides to sum up.
Use the squares to help determine its perimeter, with each square representing 1 cm.
After finding the lengths of each side, add them up:
6 cm + 3 cm + 5 cm + 1 cm + 1 cm + 2 cm
That’s a lot of numbers! To simplify, you can group some numbers together:
6 cm + 3 cm + 5 cm + 1 cm + 1 cm + 2 cm or 9 cm + 6 cm + 3 cm = 18 cm
So, the perimeter of the rectilinear shape is 18 cm.
Example
Example: Work out the missing lengths of this shape to find the perimeter.
Sol:
- Let's start by identifying the missing horizontal length.
- To match the longest length of 12 cm, add the missing length to 7 cm: 7 cm + ? = 12 cm. Therefore, the missing length is 5 cm.
- Next, let's determine the vertical sides. The longest length is missing, so add 6 cm and 2 cm together: 6 cm + 2 cm = 8 cm.
- Now that you know the measurement of each side, you can calculate the perimeter: 12 cm + 6 cm + 5 cm + 2 cm + 7 cm + 8 cm = 40 cm.
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FAQs on Perimeter on a grid - Year 4 Mathematics
| 1. What is the formula for calculating the perimeter of a shape on a grid? |  |
Ans. The formula for calculating the perimeter of a shape on a grid is to add up the lengths of all the sides of the shape.
| 2. How do you find the perimeter of a shape on a grid if some sides are missing? | |
Ans. If some sides of the shape are missing, you can use the given sides to find the missing lengths and then calculate the perimeter by adding up all the sides.
| 3. Can the perimeter of a shape on a grid be negative? | |
Ans. No, the perimeter of a shape on a grid cannot be negative as it represents the total distance around the shape, which is always a positive value.
| 4. How is the concept of perimeter on a grid useful in real-life situations? | |
Ans. The concept of perimeter on a grid is useful in real-life situations such as calculating the amount of fencing needed for a garden or determining the length of borders for a map.
| 5. Are there any shortcuts or tricks for quickly calculating the perimeter of a shape on a grid? | |
Ans. One shortcut for calculating the perimeter of a shape on a grid is to identify patterns and symmetry in the shape to simplify the calculation process.
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Oct 31, 2024 Last updated |
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