To calculate the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
From your information:
- The base is on 8 full squares. Therefore, we can assume the base is 8 units long.
- You specified the height can be found by counting the squares, but you didn't mention the height value directly. However, if you're asking about area options, let's assume the height is also counted in square units on your grid.
Let’s consider what the possible heights could be, based on the options you provided (64, 48, 32, 24):
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Option 1: Area = 64 square units \[ \frac{1}{2} \times \text{base} \times \text{height} = 64 \ \frac{1}{2} \times 8 \times \text{height} = 64 \ 4 \times \text{height} = 64 \ \text{height} = 16 , \text{units} \]
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Option 2: Area = 48 square units \[ \frac{1}{2} \times 8 \times \text{height} = 48 \ 4 \times \text{height} = 48 \ \text{height} = 12 , \text{units} \]
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Option 3: Area = 32 square units \[ \frac{1}{2} \times 8 \times \text{height} = 32 \ 4 \times \text{height} = 32 \ \text{height} = 8 , \text{units} \]
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Option 4: Area = 24 square units \[ \frac{1}{2} \times 8 \times \text{height} = 24 \ 4 \times \text{height} = 24 \ \text{height} = 6 , \text{units} \]
You will need to refer to your grid to determine the height accurately. If you find the height by counting squares and the height is 8 units, the area would be \(32\) square units; if it is \(12\) units, the area would be \(48\) square units, and so on.
Please confirm the height measured, and you can select the appropriate area based on the calculations shown above.