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Vikki [24]
3 years ago
15

Evan bought two square rows the larger one measure 12 ft Square the smaller one had an area equal to 1/4 the area of the larger

one what fraction of the side length of the larger rug with a side length of the smaller one
Mathematics
1 answer:
Ghella [55]3 years ago
4 0
The smallest area is:
 A2 = (1/4) * (A1)
 Substituting:
 A2 = (1/4) * (12)
 A2 = 3 feet ^ 2
 Since both are squares then:
 L2 = root (3)
 L1 = root (12)
 The relationship is:
 L2 / L1 = (root (3)) / (root (12))
 Rewriting:
 L2 / L1 = (root (3)) / (root (3 * 4))
 L2 / L1 = (root (3)) / (2raiz (3))
 L2 / L1 = 1/2
 Answer:
 
The fraction of the side length of the larger rug with a side length of the smaller one is:
 
L2 / L1 = 1/2
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Answer:

x = ±2√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Multiple Roots

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

4x² - 5 = 75

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

  1. [Addition Property of Equality] Add 5 on both sides:                                    4x² = 80
  2. [Division Property of Equality] Divide 4 on both sides:                                  x² = 20
  3. [Equality Property] Square root both sides:                                                    x = ±2√5
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