To find the length of the base of the triangle, we can use the formula for the area of a triangle:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

You are given:

• Area = 32 cm²
• Height = 4 cm

Plugging these values into the formula:

$32 = \frac{1}{2} \times \text{base} \times 4$

Simplify the equation:

$32 = 2 \times \text{base}$

Now, divide both sides by 2:

$\text{base} = \frac{32}{2} = 16 \, \text{cm}$

So, the length of the base is 16 centimeters.

Would you like further explanation or help with another problem?

Here are five related questions:

1. How do you calculate the area of a triangle with a given base and height?
2. What happens to the area of a triangle if the height is doubled but the base remains the same?
3. How can you calculate the area of a triangle if you know the lengths of the three sides (using Heron's formula)?
4. How does the base of a triangle relate to its perimeter and area?
5. How do you calculate the area of an equilateral triangle?

Tip: Always double-check if you're using the correct formula for the shape you're working with. For triangles, the area formula involves the base and height.