You can
put this solution on YOUR website!The length of a rectangle is 2 cm more than 3 times its width. If the
area of the rectangle is 95 cm2, find the dimensions of the rectangle.
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Let x = width of the rectangle
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It says,"The length of a rectangle is 2 cm more than 3 times its width." Therefore
Length = (3x + 2)
:
"area of the rectangle is 95 cm2,"
L * W = 95
Therefore:
(3x+2) * x = 95
:
3x^2 + 2x = 95
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3x^2 + 2x - 95 = 0; a quadratic equation, solve using the quadratic formula
a = 3; b = 2; c = -95
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:
:
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; minus a minus is a plus
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Two solutions, but it's the positive solution we want here
x = 5.305 is the width
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Length = 3(5.305) + 2 = 17.915 is the length
:
:
Check solution:
5.305 * 17.915 = 95.0
