SOLUTION: A jumbo chocolate bar with a rectangular shape measures 10 centimeters in length, 8 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the mana

Algebra ->  Linear-equations -> SOLUTION: A jumbo chocolate bar with a rectangular shape measures 10 centimeters in length, 8 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the mana      Log On


   



Question 843667: A jumbo chocolate bar with a rectangular shape measures 10 centimeters in length, 8 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the management has decided to reduce the volume of the bar by 10%. To accomplish this reduction, management decides that the new bar should have the same 2 centimeters thickness, but the length and width of each should be reduced by an equal number of centimeters. What should be the dimensions of the new candy bar?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2 = height for thickness.
x = how many cm to subtract for length and width
Wanted, 0.90%2810%2A8%2A2%29 cm^3 volume

This is %2810-x%29%288-x%29%2A2=0.9%2810%2A8%2A2%29. If this makes sense, then continue.

%2810-x%29%288-x%29=%280.9%29%2A80
100-8x-10x%2Bx%5E2=54
x%5E2-18x%2B100-54=0
x%5E2-18x%2B46=0 not factorable.

highlight%28x=%2818%2B-+sqrt%2818%5E2-4%2A46%29%29%2F2%29, and the positive root is likely what you will want.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A jumbo chocolate bar with a rectangular shape measures 10 centimeters in length, 8 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the management has decided to reduce the volume of the bar by 10%. To accomplish this reduction, management decides that the new bar should have the same 2 centimeters thickness, but the length and width of each should be reduced by an equal number of centimeters. What should be the dimensions of the new candy bar?

Thickness: highlight_green%282%29 cm
Length: highlight_green%289.544%29 cm
Width: highlight_green%287.544%29 cm
You can do the check!!
If you need a complete and detailed solution, let me know!!
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