The Perimeter of a rectangle
192cm. If its length is twice is
width. Find its length and width.
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The area of a rectangle is 192cm^(2) and the dimension is 56cm. What is the length of the rectangle?
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9 Answers

Audley Willacey, B.Sc. Mechanical Engineering, University of the West Indies, St. Augustine (1976)
Answered 4 February 2020
Originally Answered: The area of a rectangle is 192cm^(2) and the perimeter is 56cm. What is the length of the rectangle?
Area of rectangle = lw
Perimeter of rectangle = 2(l+w) = 2l + 2w
lw = 192 ……(i)
2l + 2w = 56 ===> l+w = 28 ……(ii)
From (ii) : w = (28 -l)
Subst w in (i) : l(28-l) = 192
28l - l^2 = 192
l^2 - 28l + 192 = 0
(l - 16)(l - 12) = 0
l = 16 or 12
w = 28 - l = 12 or 16.
Length of recrangle = 16 cm. [Width = 12 cm]
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