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.

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

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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step-by-step explanation:

27×17