To find the perimeter of the rectangular garden, we first need to determine its width.

Given:

• Area of the garden: $240 \, \text{m}^2$
• Length of the garden: $20 \, \text{m}$

The area $A$ of a rectangle is calculated using the formula: $A = \text{Length} \times \text{Width}$ Substituting the known values: $240 \, \text{m}^2 = 20 \, \text{m} \times \text{Width}$ To find the width, divide both sides by 20: $\text{Width} = \frac{240 \, \text{m}^2}{20 \, \text{m}} = 12 \, \text{m}$

Now, the perimeter $P$ of a rectangle is given by the formula: $P = 2 \times (\text{Length} + \text{Width})$ Substituting the values for length and width: $P = 2 \times (20 \, \text{m} + 12 \, \text{m}) = 2 \times 32 \, \text{m} = 64 \, \text{m}$

Thus, the perimeter of the rectangular garden is $64 \, \text{m}$.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. If the length of the garden was increased by 5 meters, what would the new perimeter be?
2. How would the perimeter change if the area remained the same, but the length was reduced to 15 meters?
3. What is the length of a rectangle with an area of 240 square meters and a perimeter of 80 meters?
4. How would you find the dimensions of a rectangle if only the perimeter and area were given?
5. If the width was reduced by 2 meters, what would be the new area and perimeter?

Tip: When solving for one dimension of a rectangle given the area and the other dimension, remember that the area formula is the key equation to use.