Mathematics
Grade9
Easy

Question

The perimeter of a rectangle is 132 feet. The ratio of the length to the width is 10: 1. Find the length and the width.

  1. Length= 60ft, width = 6ft
  2. Length=120ft, width=12ft
  3. Length= 12ft, width=11ft
  4. Length=30ft, width=3ft

hintHint:

Perimeter of rectangle = 2 ( l + b)
Where, l = length and b = breadth

The correct answer is: Length= 60ft, width = 6ft


    Given : Perimeter of a rectangle is 132 feet. 
    Ratio of the length to the width is 10: 1.
    Let the length (l) = 10x and width(b) = 1x
    We know that Perimeter of rectangle =2(l+b)
    2 ( 10x + 1x) = 132feet
    22x = 132
    x = 6 feet
    Length of rectangle = 10x = 10 cross times6 = 60 feet and
    Width of rectangle = 1x = 6feet
    Thus , the length and the width are 60feet and 6feet respectively.

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