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?
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 = 325
More math articles
- Top 10 5th Grade PARCC Math Practice Questions
- What Kind of Math Is on the TASC Test?
- GED Calculator
- 8th Grade PSSA Math Practice Test Questions
- Best Calculators for Linear Algebra and Calculus
- Full-Length SSAT Upper Level Math Practice Test
- Best Calculator for Calculus 2022
- The Ultimate SSAT Middle Level Math Formula Cheat Sheet
- ASVAB Math Formulas
- SSAT Middle Level Math Formulas