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andrew-mc [135]
3 years ago
13

The length of a rectangle is three times it’s width. The perimeter is 100. What are the dimensions

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

The length of rectangle is 37.5 and width is 12.5

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = 3w

Perimeter of rectangle = 100

Perimeter = 2(Length+Width)

100=2(3w+w)\\100=2(4w)\\100=8w\\8w=100

Dividing both sides by 8

\frac{8w}{8}=\frac{100}{8}\\w=12.5

Width of rectangle = 12.5

Length of rectangle = 3(12.5) = 37.5

The length of rectangle is 37.5 and width is 12.5

Keywords: Rectangle, perimeter

Learn more about perimeters at:

  • brainly.com/question/6952762
  • brainly.com/question/7207785

#LearnwithBrainly

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The sum of the first three terms of a sequence is 6 and the fourth term is 16
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Answer:

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equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

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equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

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Step-by-step explanation:

<em>3t-8 is the answer because there are no like terms.</em>

<em />

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