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elizediax8683
06.08.2021 •
Mathematics
The area of a rectangular piece of cardboard is represented by
the equation w(2w + 3) = 9 where w is the width of the
cardboard in feet. Find the width.
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Ответ:
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
This polynomial has roots
such that
, given by the following formulas:
In this question:
Thus a quadratic equation with![a = 2, b = 3, c = -9](/tpl/images/1405/1063/67db1.png)
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at
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