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BartSMP [9]
3 years ago
6

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

length of this rectangle?
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

The width of rectangle is 2\frac{1}{4} cm and length is 5\frac{5}{12} cm.

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+3\frac{1}{6}=w+\frac{19}{6}

Perimeter of rectangle = 15\frac{1}{3}=\frac{46}{3} cm

Perimeter = 2(Length + Width)

\frac{46}{3}=2(w+\frac{19}{6}+w)\\\\\frac{46}{3}=2(2w+\frac{19}{6})\\\\\frac{46}{3}=4w+\frac{19}{3}\\\\4w+\frac{19}{3}=\frac{46}{3}\\\\4w=\frac{46}{3}-\frac{19}{3}\\\\\ 4w=\frac{46-19}{3}\\\\4w=\frac{27}{3}\\\\4w=9

Dividing both sides by 4

\frac{4w}{4}=\frac{9}{4}\\\\w=\frac{9}{4}

Width of rectangle = \frac{9}{4}=2\frac{1}{4}\ cm

Length = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}\\\\Length = \frac{27+38}{12}=\frac{65}{12}\\\\Length=5\frac{5}{12}\ cm

The width of rectangle is 2\frac{1}{4} cm and length is 5\frac{5}{12} cm.

Keywords: rectangle, perimeter

Learn more about perimeter at:

  • brainly.com/question/12613605
  • brainly.com/question/12700460

#LearnwithBrainly

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