Math  /  Geometry

Question\text{Given a hexagon with side lengths: } 2 \text{ cm}, 8 \text{ cm}, 16 \text{ cm}, 13 \text{ cm}, 8 \text{ cm}, \text{ and } 23 \text{ cm, find the perimeter of the hexagon.}

Studdy Solution

STEP 1

What is this asking? Find the total length around a six-sided shape by adding up the lengths of all its sides. Watch out! Don't be tricked by the image!
A hexagon has six sides, so make sure you're adding six numbers together, not just the ones shown in the picture.

STEP 2

1. Identify all side lengths
2. Calculate the perimeter

STEP 3

We're given six side lengths: 22 cm, 88 cm, 1616 cm, 1313 cm, 88 cm, and 2323 cm.
That's perfect, because a hexagon *must* have six sides!
Sometimes a diagram might not show all the information, so it's important to read the problem carefully.
In this case, we have all six measurements, so we're good to go!

STEP 4

The **perimeter** is the total distance around the hexagon.
To find it, we simply **add** all the side lengths together.
It's like taking a walk around the hexagon and measuring how far you traveled.

STEP 5

2+8+16+13+8+232 + 8 + 16 + 13 + 8 + 23

STEP 6

Let's break down the addition to make it easier!
We can group the numbers strategically. (2+8)+16+13+8+23(2 + 8) + 16 + 13 + 8 + 23 10+16+13+8+2310 + 16 + 13 + 8 + 23(10+16)+13+8+23(10 + 16) + 13 + 8 + 2326+13+8+2326 + 13 + 8 + 23(26+13)+8+23(26 + 13) + 8 + 2339+8+2339 + 8 + 23(39+8)+23(39 + 8) + 2347+2347 + 23(47+23)(47 + 23)7070

STEP 7

So, the **perimeter** of the hexagon is 7070 cm.

STEP 8

The perimeter of the hexagon is 7070 cm.

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