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antoniya [11.8K]
1 year ago
14

The length of a rectangle is 6 in longer than its width.if the perimeter of the rectangle is 68in find the length and width ?

Mathematics
1 answer:
wel1 year ago
6 0

The length and the width of the rectangle are 20 and 14 inches respectively

<h3>How to find the length and width?</h3>

The given parameters are:

Length = 6 + Width

Perimeter = 68 inches

The perimeter of a rectangle is calculated as:

Perimeter = 2 * (Length + Width)

So, we have:

2 * (Length + Width) = 68

Divide both sides by 2

Length + Width = 34

Substitute Length = 6 + Width in Length + Width = 34

6 + Width + Width = 34

Evaluate the like terms

2 * Width = 28

Divide both sides by 2

Width = 14

Substitute Width = 14 in Length = 6 + Width

Length = 6 + 14

Evaluate

Length = 20

Hence, the length and the width of the rectangle are 20 and 14 inches respectively

Read more about perimeter at:

brainly.com/question/24571594

#SPJ1

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The equation y=9. 5x 0. 4 represents the line of best fit for the distance (in feet) that Marcella traveled over time (in second
Bas_tet [7]

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<h3>How are time taken for travel, distance traveled, and the average speed are related?</h3>

We have this below shown relation between them

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For the given case, we have:

The equation y=9.5x  + 0.4 represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)

The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )

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\text{Average speed}  = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Average speed}  = \dfrac{y_1 - y}{x + 1 - x} = \dfrac{9.5x  + 9.9 - 9.5x - 0.4}{1} = 9.5 \: \rm feet/sec

We could've also used the fact that in the relation of y to x as y = mx + c, 'm' denotes the rate of y as x changes.

Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.

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brainly.com/question/12322912

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