# Determining measurements using a quadratic equation.

Reducing the Size of a candy Bar:

A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters in thickness. Due to the escalating costs of cocoa, management decides to reduce the volume of the bar by 10%. To accomplish this reduction, management decides the new bar should have the same 3 centimeter thickness, but the length and width each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar? What would be the dimensions with a 20% reduction?

#### Solution Preview

... by 10% => new Volume is V - 0.1 V

Let X be the reduction in centimeters of both the length and the width. H will stay the same.

So, what we have is

(1 - 0.1) V = (L-X)(W-X)H

where L, W, H ...