The length of a rectangle is 1 cm less than three times the width. If the perimeter of the rectangle is 46 cm find the length and width of the rectangle

Question

Mathematics

Edwards

20 December, 14:24

The length of a rectangle is 1 cm less than three times the width. If the perimeter of the rectangle is 46 cm find the length and width of the rectangle

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Answers (1)

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Seamus Silva · Answer 1

Length = 17, Width = 6

Step-by-step explanation:

Let the length be L and width be W.

L = 3W - 1, and,

2 (L + W) = 46 = > L+W = 23 = > L = 23 - W, putting this into L = 3W - 1

23 - W = 3W - 1

24 = 4W

W = 6

therefore, L = 23 - W = 17