The Perimeter of a rectangle is 194 cm. The length of the rectangle is three centimeters less than four times the size of width. What is the Length, L, and width, W, of the rectangle?

Question

Mathematics

Cali

5 August, 23:12

The Perimeter of a rectangle is 194 cm. The length of the rectangle is three centimeters less than four times the size of width. What is the Length, L, and width, W, of the rectangle?

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Answers (1)

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Pennington · Answer 1

Given that:

Perimeter=194 cm

Width=w

Length, L = 4w-3

Formula for perimeter of rectangle:

P=2 (L+W)

Put values

194=2 (4w-3+w)

194=2 (5w-3)

Divide both sides by 2.

97=5w-3

Add 3 to both sides

100=5w

w=20

So length = 4 (20) - 3 = 80-3 = 77 cm

and width = 20 cm

Answer: Length=77 cm and width=20 cm