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Monica [59]
3 years ago
15

Calculate the lateral area of a rectangular prism with a base with measures of 5.6 in. and 4.3 in. and a height of 10 in.

Mathematics
1 answer:
juin [17]3 years ago
7 0
One formula for the lateral area is
  A = 2(LW + H(L+W))

Filling in the given numbers, you have ...
  A = 2((5.6 in)·(4.3 in) + (10 in)·(5.6 in + 4.3 in))
  = 2(24.08 in² + 99 in²)
  = 246.16 in²
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We can do this algebraically. Follow to following steps:

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0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

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Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

3.1111...-0.31111...=9n

All of the 1s will cancel. So:

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Divide both sides by 9:

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Reduce:

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Use a calculator to check:

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