Geometry - 2D Shapes and their Properties

Find the perimeter of a rectangle whose length is $10 \text{ cm}$ and breadth is $6 \text{ cm}$.

Step 1: Identify the given values: $\text{length} = 10 \text{ cm}$ and $\text{breadth} = 6 \text{ cm}$. Step 2: Use the formula: $\text{Perimeter} = 2 \times (\text{length} + \text{breadth})$. Step 3: Substitute the values: $2 \times (10 + 6)$. Step 4: Add the numbers inside the brackets: $2 \times 16$. Step 5: Multiply the numbers: $2 \times 16 = 32$. Final Answer: The perimeter is $32 \text{ cm}$.

To find the perimeter of a rectangle, we add the length and breadth together and then double the result because there are two lengths and two breadths in every rectangle.

A square garden has a side of $8 \text{ m}$. Calculate the total length of the fence needed to cover its boundary.

Step 1: Identify that the length of the fence is the same as the perimeter of the square. Step 2: Use the formula: $\text{Perimeter} = 4 \times \text{side}$. Step 3: Substitute the value of the side: $4 \times 8$. Step 4: Calculate the product: $4 \times 8 = 32$. Final Answer: The total length of the fence needed is $32 \text{ m}$.

Since all four sides of a square are equal, the total boundary (perimeter) is found by multiplying the length of one side by $4$.

Perimeter of Triangle = $\text{Side}_1 + \text{Side}_2 + \text{Side}_3$

$\begin{array}{r} 5 \\ 7 \\ + 9 \\ \hline 21 \end{array}$

Perimeter = $21 \text{ cm}$

To find the perimeter of a triangle, we add the lengths of all its three sides together.

Boundary of a square (Perimeter) = $4 \times \text{side}$ Perimeter = $4 \times 12 \text{ cm}$ Perimeter = $48 \text{ cm}$

Since all four sides of a square are equal, we multiply the length of one side by 4 to get the total boundary length.