Find the perimeter of the shape below, where w = 2.34cm, x = 8.57cm, y = 9.93cm and z = 2.56cm. Express your answer correct to ONE decimal place.

1. Break Down the Problem

To find the perimeter of the shape, we need to add up all the lengths of the sides provided: $w$, $x$, $y$, and $z$.

2. Relevant Concepts

The perimeter $P$ of a polygon is the sum of the lengths of its sides. Thus, we can express this as: $P = w + x + y + z$

3. Analysis and Detail

Substituting the given values into the formula:

• $w = 2.34 \, \text{cm}$
• $x = 8.57 \, \text{cm}$
• $y = 9.93 \, \text{cm}$
• $z = 2.56 \, \text{cm}$

Calculating the perimeter: $P = 2.34 + 8.57 + 9.93 + 2.56$

4. Verify and Summarize

Now we perform the addition:

1. $2.34 + 8.57 = 10.91$
2. $10.91 + 9.93 = 20.84$
3. $20.84 + 2.56 = 23.40$

Final Answer

The perimeter of the shape is $23.4 \, \text{cm}$.