Asked by CB
Ellen is making rectangular bookmarks. Each bookmark has an area of 16 square inches, and the length is 6 inches more than the width. Find the length and width of her bookmarks.
Answers
Answered by
Jai
Let x = width
Let x + 6 = length
Area of rectangle is just width x length. Thus,
A = w * l
16 = x(x+6)
16 = x^2 + 6x
x^2 + 6x - 16 = 0
Factor:
(x + 8)(x - 2) = 0
x = -8 (extraneous root since dimensions cannot be negative)
x = 2 inches (width)
x+6 = 8 inches (length)
hope this helps~ `u`
Let x + 6 = length
Area of rectangle is just width x length. Thus,
A = w * l
16 = x(x+6)
16 = x^2 + 6x
x^2 + 6x - 16 = 0
Factor:
(x + 8)(x - 2) = 0
x = -8 (extraneous root since dimensions cannot be negative)
x = 2 inches (width)
x+6 = 8 inches (length)
hope this helps~ `u`
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