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  1. Subjects ›
  2. 7th Grade Math ›
  3. Question of the Day

7th Grade Math Question of the Day

7th Grade Math Question of the Day

Answer today's 7th Grade Math question, reveal the full explanation, then keep the streak going with a new question every day.

The perimeter of a rectangle is 84 inches. The length is 6 inches more than twice the width. What are the dimensions of the rectangle?

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Question of the Day

The perimeter of a rectangle is 84 inches. The length is 6 inches more than twice the width. What are the dimensions of the rectangle?

  1. Width = 10 inches, Length = 32 inches
  2. Width = 12 inches, Length = 30 inches (correct answer)
  3. Width = 14 inches, Length = 28 inches
  4. Width = 16 inches, Length = 26 inches

Explanation: Let www be the width. Then length = 2w+62w + 62w+6. Perimeter formula: 2w+2(2w+6)=842w + 2(2w + 6) = 842w+2(2w+6)=84. Simplifying: 2w+4w+12=842w + 4w + 12 = 842w+4w+12=84, so 6w=726w = 726w=72 and w=12w = 12w=12. Therefore length = 2(12)+6=302(12) + 6 = 302(12)+6=30. Check: 2(12)+2(30)=24+60=842(12) + 2(30) = 24 + 60 = 842(12)+2(30)=24+60=84 ✓. Choice A results from solving 2w+2w+6=842w + 2w + 6 = 842w+2w+6=84 (forgetting to double the length). Choice C uses incorrect coefficient setup. Choice D comes from arithmetic errors in solving the equation.