Question

a + 5
a a
a + 5
Write a simplified expression to represent the perimeter of the figure.

Answer 1

To provide a simplified expression for the perimeter of a figure based on the expression \(a + 5\), we first need to understand the dimensions involved.

Typically, the perimeter (P) of a rectangular figure, for instance, can be expressed using the lengths of its sides. If we assume that:

- Two sides of the rectangle have a length of \(a\)
- The other two sides have a length of \(a + 5\)

The general formula for the perimeter of a rectangle is given by:

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

In this case, substituting in our lengths:

\[
P = 2 \times (a + (a + 5))
\]

Now simplifying the expression inside the parentheses:

\[
P = 2 \times (2a + 5)
\]

Then, applying the multiplication:

\[
P = 4a + 10
\]

Thus, the simplified expression representing the perimeter of the figure is:

\[
\boxed{4a + 10}
\]