SOLUTION: A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. She decides add more zing to the booth by i

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Question 1183630: A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences.
She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount.
What will the new dimensions be?
:
Find the area of the new banner
1.5(6*8) = 72 sq/ft
Let x = the amt of increase required to accomplish this
(x+6)(x+8) = 72
FOIL
x^2 + 8x + 6x + 48 = 72
x^2 + 14x + 48 - 72 = 0
x^2 + 14x - 24 = 0
Use the quadratic formula: a=1; b=14; c=-24
I got a positive solution: 1.544 ft
:
What will the new dimensions be?
6+1.544 = 7.544 ft is the new width
8+1.544 = 9.544 ft is the new length
:
Check: 7.544 * 9.544 ~ 72 sq/ft

Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website!
.
A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up
booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%,
and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be?
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After adding x to old dimension, the new dimensions are (6+x) ft and (8+x) ft. The new area is 50% more than the old area, which was 6*8 = 48 ft^2. So, the new area is 48 + 0.5*48 = 72 ft^2, giving the equation (6+x)*(8+x) = 72. Simplify and find x 48 + 6x + 8x + x^2 = 72 x^2 + 14x - 24 = 0 It is not factorable, so use the quadratic formula = = . Of the two roots, select only the positive root as the solution to the problem x = = 1.544 ft (rounded). ANSWER ANSWER. New dimensions are 6+1.544 = 7.544 ft and 8+1.544 = 9.544 ft. CHECK. 7.544*9.544 = 71.99994 ft^2. ! Good ; Correct !

Solved.