❍ <u>Concept</u><u> </u><u>:</u><u>-</u>
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We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.
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✱ <u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
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A rectangular mat with,
- Perimeter = 36 ft.
- Length = twice the width
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✱ <u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
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- The dimensions of the mat
- Area of the mat
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✱ <u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
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<u>
</u>
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✱ <u>Solution</u><u> </u><u>:</u><u>-</u>
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Let the breadth of the mat be x, therefore,
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Now, according to the question,
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Thus,
- Length = 2x = 2 x 6 = 12 ft.
- Breadth = x = 6 ft.
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Now, we have to find out the area of the mat, thus,
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Thus, the area of the mat is 72 sq. ft.
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The x - intercept is
and y - intercept is (0, 5)
<h3><u>Solution:</u></h3>
Given that : 3x + y = 5
<em><u>To find: x - intercept and y -intercept</u></em>
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x
3x + 0 = 5
3x = 5

Therefore the x - intercept is 
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y
3(0) + y = 5
y = 5
Therefore y - intercept is (0, 5)
Let x = Darlene's dog's weightlet y = Leah's dog's weight x = 5yx + y = 84 so, 5y + y = 84, which means 6y = 84 so, y = 84/6 = 14x = 5(14) = 70 Darlene's dog = 70 lbs, Leah's dog = 14 lbs.<span> </span>
I believe it’s the last option sorry if I’m incorrect