a rectangular garden has one side with a length of x+7 and another with a length of 2x+3. Find the perimeter of the garden

The formula for the perimeter \( P \) of a rectangle is given by:

\[
P = 2(\text{length} + \text{width})
\]

For the rectangular garden, the lengths of two adjacent sides are \( x+7 \) and \( 2x+3 \). So, substituting these into the formula:

\[
P = 2\left((x+7) + (2x+3)\right)
\]

Now, simplify the expression inside the parentheses:

\[
(x+7) + (2x+3) = 3x + 10
\]

So, the perimeter becomes:

\[
P = 2(3x + 10) = 6x + 20
\]

Therefore, the perimeter of the garden is:

\[
P = 6x + 20
\]

Would you like further details or have any questions?

### Related Questions:
1. How do you calculate the area of the same garden?
2. If the value of \( x \) is 4, what is the exact perimeter?
3. How do different values of \( x \) affect the shape of the garden?
4. What happens to the perimeter if both side lengths are increased by a constant?
5. How does the formula change for other shapes like triangles or circles?

**Tip**: When solving for the perimeter of any polygon, always make sure to correctly identify and sum all sides.

A rectangular garden has one side with a length of x+7 and another with a length of 2x+3. Find the perimeter of the garden.

Learn how to calculate the perimeter of a rectangular garden with sides x+7 and 2x+3. This step-by-step solution covers key algebraic and geometric concepts, providing a detailed explanation for students in Grades 6-8.

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