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andreyandreev [35.5K]
3 years ago
12

The length of a rectangle is 2 cm more than 3 times its width. Find the length of the rectangle if the perimeter is 44 cm

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
L = 3W + 2

P = 2W + 2L

44 = 2W + 2 * (3W + 2)

44 = 2W + 6W + 4

40 = 8W

W = 5

Substitute back into L equation;

L = 3 * 5 + 2

L = 17
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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

Step-by-step explanation:

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

7(2x - 5) = 21

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

  1. Distribute 7:                   2x - 5 = 3
  2. Isolate <em>x</em> term:                2x = 8
  3. Isolate <em>x</em>:                         x = 4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                  7(2(4) - 5) = 21
  2. Multiply:                             7(8 - 5) = 21
  3. Subtract:                            7(3) = 21
  4. Multiply:                             21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

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