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3 years ago

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A rectangle has length (3x-8) and width (2x-7) cm .Write down and simplify an expression for the perimeter of the rectangle. So

show me the answer and its working out.

1 answer:

tatuchka [14]3 years ago

8 0

Answer:

The perimeter of the rectangle is equal to $(10x-30)\ cm$

Step-by-step explanation:

Let

L-----> the length of the rectangle

W ----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

we have

$L=(3x-8)\ cm\\W=(2x-7)\ cm$

substitute

$P=2((3x-8)+(2x-7))$

$P=2(5x-15)$

$P=(10x-30)\ cm$

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Answers with Explanation.

i. If we raise a number to an exponent of 1, we get the same number.

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iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

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v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.

${10}^{5} = 10 \times {10}^{4} = 10 \times 10000 = 100000$

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vi. Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$
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${10}^{ - 2} = \frac{1}{{10}^{2} } = \frac{1}{100}$

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${a}^{ - m} = \frac{1}{ {a}^{m} }$
again to obtain,

${10}^{ - 3} = \frac{1}{ {10}^{3} } = \frac{1}{1000}$

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EXPLANATION
We were given that
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