How to Solve a Rectangle Perimeter Inequality in Algebra

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SUMMARY

The discussion focuses on solving a rectangle perimeter inequality where the length is defined as 10 mm longer than the width (w). The perimeter condition states that it exceeds 30 mm. The expressions derived from the problem are: length (l) = w + 10 mm and perimeter (P) = 2(l + w) > 30 mm. The inequality can be solved to determine the valid range for the width of the rectangle.

PREREQUISITES
  • Understanding of algebraic expressions and inequalities
  • Knowledge of perimeter calculations for rectangles
  • Ability to manipulate algebraic inequalities
  • Familiarity with basic geometric concepts related to rectangles
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  • Practice solving algebraic inequalities with different geometric shapes
  • Learn how to derive expressions for area and perimeter in various contexts
  • Explore the implications of changing dimensions on perimeter inequalities
  • Study real-world applications of perimeter calculations in design and architecture
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Students studying algebra, educators teaching geometry, and anyone interested in applying mathematical concepts to solve real-world problems involving dimensions and inequalities.

jtesttubes
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Help me to solve this equation in algebra
More than its width A rectangle has a length of 10 mm long . It has a perimeter which is more than 30mm. We can take w as width.

question is
1. write and Use expressions calculate the length in terms of width.
2. Write expressions for the length and width on the basis of given information
3. solve inequality, clearly indicating the width of rectangle.
 
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Hi jtesttubes! :smile:

(you mean "The length is 10mm more than the width" :wink:)

Call the length x and the width w.

What is your answer for 1. and 2.? :smile:
 

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