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2 years ago

The perimeter of a rectangular field is 354m.

Mathematics

1 answer:

Flauer [41]2 years ago

8 0

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

Step-by-step explanation:

Step 1: Define

Identify given.

P = 354 m

w = 81 m

Step 2: Find Length

[Perimeter Formula - Rectangle] Substitute in variables:
354 m = 2l + 2(81 m)
Simplify:
354 m = 2l + 162 m
[Subtraction Property of Equality] Isolate l term:
192 m = 2l
[Division Property of Equality] Isolate l:
96 m = l
Rewrite:
l = 96 m

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

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Topic: Geometry

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