Answer:
The width of the rectangular field is equal to 74 yards.
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]:
[tex]\displaystyle P = 2l + 2w[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
P = 332 yds
l = 92 yds
Step 2: Find Width
- [Perimeter Formula - Rectangle] Substitute in variables:
[tex]\displaystyle 332 \ \text{yds} = 2(92 \ \text{yds}) + 2w[/tex] - Simplify:
[tex]\displaystyle 2w + 184 \ \text{yds} = 332 \ \text{yds}[/tex] - [Subtraction Property of Equality] Subtract 184 on both sides:
[tex]\displaystyle 2w = 148 \ \text{yds}[/tex] - [Division Property of Equality] Divide both sides by 2:
[tex]\displaystyle w = \boxed{ 74 \ \text{yds} }[/tex]
∴ the width of the field is equal to 74 yards.
___
Learn more about Geometry: https://brainly.com/question/27795993
___
Topic: Geometry
