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cupoosta [38]
2 years ago
13

The perimeter of a rectangular field is 354m.

Mathematics
1 answer:
Flauer [41]2 years ago
8 0

Answer:

The <em>length</em> of the field is equal to 96 m.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

<u>Geometry</u>

Perimeter Formula [Rectangle]: P = 2l + 2w

  • <em>l</em> is length
  • <em>w</em> is width

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

P = 354 m

<em>w</em> = 81 m

<u>Step 2: Find Length</u>

  1. [Perimeter Formula - Rectangle] Substitute in variables:
    354 m = 2l + 2(81 m)
  2. Simplify:
    354 m = 2l + 162 m
  3. [Subtraction Property of Equality] Isolate <em>l</em> term:
    192 m = 2l
  4. [Division Property of Equality] Isolate <em>l</em>:
    96 m = l
  5. Rewrite:
    l = 96 m

∴ we have found the <em>length</em> of the field to be 96 meters.

---

Topic: Geometry

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