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zavuch27 [327]
2 years ago
11

The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

Mathematics
1 answer:
blagie [28]2 years ago
4 0

Step-by-step explanation:

Length = L

Width = W

L=8 more than 2W

L = 8 * 2W

L = 16W

Perimeter = 96

perimeter is the lengths of all sides added together

so

2L + 2W = 96

we have

L = 16W

2L + 2W = 96

let's do substitution

put what L = into 2L + 2W = 96

so

2(16W) + 2W = 96

can you rearrange that to get w

put answer in comment

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
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Step-by-step explanation:

<u>Step 1: Define systems</u>

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y = 1/2x + 3

<u>Step 2: Solve for</u><u><em> x</em></u>

  1. Substitute in <em>y</em>:                              x + 1 = 1/2x + 3
  2. Subtract 1/2x on both sides:        1/2x + 1 = 3
  3. Subtract 1 on both sides:              1/2x = 2
  4. Divide both sides by 1/2:              x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                   y = x + 1
  2. Substitute in <em>x</em>:                                    y = 4 + 1
  3. Add:                                                     y = 5

<u>Step 4: Graph</u>

<em>We can confirm our answer.</em>

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