Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle
is 85 square centimeters, find its length and width
1 answer:
Answer:
width = 5 in
length = 17 in
Step-by-step explanation:
Area of a rectangle = length x width
width = w
length = 2 + 3w
85 = (w) x (2 + 3w)
85 = 2w + 3w³
this can be solved using quadratic equation
3w³ + 2w - 85 = 0
factors of 3w³ x -85 that add up to 2w are : +17 w and -15w
(3w³ - 15w) (17w - 85) = 0
3w(w - 5) 17(w - 5) 0
w = 5
or w = - 17/3
the width cannot be a negative number. the correct width is 5 in
Length = 2 x 3(5) = 17 inches
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Hope this helps!
