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Answer :
To solve the problem of adding [tex]1.4 \text{ m}^2[/tex] and [tex]7000 \text{ mm}^2[/tex] and expressing the result in square centimeters ([tex]\text{cm}^2[/tex]), we need to first convert the units to the same measurement.
Let's break it down step-by-step:
Convert [tex]1.4 \text{ m}^2[/tex] to [tex]\text{cm}^2[/tex]:
- There are 100 centimeters in a meter. So, [tex]1 \text{ m}^2 = 100 \text{ cm} \times 100 \text{ cm} = 10000 \text{ cm}^2[/tex].
- Therefore, [tex]1.4 \text{ m}^2[/tex] can be converted by multiplying by 10000:
[tex]1.4 \text{ m}^2 = 1.4 \times 10000 \text{ cm}^2 = 14000 \text{ cm}^2[/tex]
Convert [tex]7000 \text{ mm}^2[/tex] to [tex]\text{cm}^2[/tex]:
- There are 10 millimeters in a centimeter. So, [tex]1 \text{ cm}^2 = 10 \text{ mm} \times 10 \text{ mm} = 100 \text{ mm}^2[/tex].
- Thus, to convert [tex]7000 \text{ mm}^2[/tex] to [tex]\text{cm}^2[/tex], divide by 100:
[tex]7000 \text{ mm}^2 = \frac{7000}{100} \text{ cm}^2 = 70 \text{ cm}^2[/tex]
Add the converted areas together:
- Now that both values are in [tex]\text{cm}^2[/tex], we can simply add them:
[tex]14000 \text{ cm}^2 + 70 \text{ cm}^2 = 14070 \text{ cm}^2[/tex]
- Now that both values are in [tex]\text{cm}^2[/tex], we can simply add them:
Therefore, [tex]1.4 \text{ m}^2 + 7000 \text{ mm}^2[/tex] equals [tex]14070 \text{ cm}^2[/tex].
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