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2 years ago

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Two cars are traveling in opposite directions at different rates. Two hours later, the cars are 110 mi apart. Express the distan

ce traveled by the faster car in terms of the distance traveled by the slower car. (Let x be the distance in miles traveled by the slower car.)

1 answer:

Andre45 [30]2 years ago

8 0

Answer:

110 - x

Step-by-step explanation:

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<em>The length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Explanation:</h2>

Let's call:

$A_{s}:Area \ of \ square \\ \\ A_{r}:Area \ of \ rectangle \\ \\ P_{s}:Perimeter \ of \ square \\ \\ P_{r}:Perimeter \ of \ rectangle$

From the question, we know that:

<em>A rectangle and a square have the same perimeter.</em>

So:

$P_{s}=P_{r}$

Moreover:

<em>The rectangle is of length 6cm and has an area of 48cm²</em>

Accordingly:

$For \ Rectangle: \\ \\ L:Length \\ W:Width \\ \\ A_{r}=L\times W \\ \\ 48=6W \\ \\ W=8$

Also:

$A_{s}=s^2 \\ \\ S:Side \ of \ square$

From the statement of perimeters:

$P_{s}=P_{r} \\ \\ \\ But: \\ \\ P_{s}=4s \\ \\ P_{r}=2W+2L \\ \\ \\ Then: \\ \\ 4s=2W+2L \\ \\ \\ But: \ W=8 \ and \ L=6 \\ \\ 4s=2(8)+2(6) \\ \\ 4s=16+12 \\ \\ 4s=28 \\ \\ \boxed{s=7cm}$

Finally, <em>the length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Learn more:</h2>

Perimeter: brainly.com/question/9969486

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