Geometry Puzzle – Challenge 68
This is a great geometry and algebra-related puzzle to help you or your students enjoy learning math in a fun way!
Challenge:
The sum of three sides of a rectangular is 63. The sum of three sides of the same rectangle is 51. What is the area of the rectangle?
A- 168
B- 169
C- 240
D- 300
E- 325
The Absolute Best Book to challenge your Smart Student!
The correct answer is E.
A rectangle has two widths and two lengths. Therefore, the perimeter equals: 2 × (width + length)
Since, the sum of three sides of a rectangular is 63 and the sum of other three sides of the rectangle is 51. Let’s assume the width is smaller the length. Let W be the width and L be the length. Therefore:
2W + L = 51 and W + 2 L = 63
Solve the system of equations:
2W + L = 51 → L = 51 – 2W
W + 2 L = 63 → W + 2 (51 – 2W) = 63→ W + 102 – 4W = 63 →
W = 13 and W + 2 L = 63 → 13 + 2L = 63 → 2L = 50 → L = 25
The area of the rectangle is:
W × L = 13 × 25 = 325The Best Books to Ace Algebra
Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- Rounding Numbers Up to the Millions
- Top 10 FTCE Math Practice Questions
- Using Number Lines to Add Two Negative Integers
- What to Consider when Retaking the ACT or SAT?
- 4th Grade Georgia Milestones Assessment System Math Worksheets: FREE & Printable
- 6th Grade STAAR Math Practice Test Questions
- How to Solve Two-variable Linear Equations Word Problems
- What Kind of Math Is Taught in 8th Grade?
- How to Solve Radical Equations? (+FREE Worksheet!)
- 10 Most Common 4th Grade MAP Math Questions
What people say about "Geometry Puzzle – Challenge 68 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.