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The perimeter of a rectangular field is 354m.

If the width of the field is 81m , what is its length?

User Stephbu
by
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1 Answer

4 votes

Answer:

The length of the field is equal to 96 m.

General Formulas and Concepts:
Algebra I

Equality Properties

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

Terms/Coefficients

Geometry

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

  • l is length
  • w is width

Explanation:

Step 1: Define

Identify given.

P = 354 m

w = 81 m

Step 2: Find Length

  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 l term:
    192 m = 2l
  4. [Division Property of Equality] Isolate l:
    96 m = l
  5. Rewrite:
    l = 96 m

∴ we have found the length of the field to be 96 meters.

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Topic: Geometry

User Ben Gooding
by
8.0k points

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