SOLUTION: By what like amount does the length and width of a 6" by 4" rectangle need to be increased for it's area to be doubled

Question 1192664: By what like amount does the length and width of a 6" by 4" rectangle need to be increased for it's area to be doubled

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
By what like amount does the length and width of a 6" by 4" rectangle need to be increased for it's area to be doubled
----------------
6*4 = 24
(6+x)*(4+x) = 48
x^2 + 10x + 24 = 48
x^2 + 10x - 24 = 0
(x+12)*(x-2) = 0
x = 2
---> 8 by 6
=======================
PS it's = it is
RELATED QUESTIONS
The area of a 6 m by 4 m rectangle is to be doubled. By what equal amount must each... (answered by math-vortex)

the area of a 6cm by 4m rectangle is to be doubled. by what equal amount must each... (answered by mananth)

The Perimeter of a rectangle is 54m. If the width is doubled and the length were... (answered by ankor@dixie-net.com)

a rectangular patio measuring 6 meters by 8 meters s to be increased in size to an area... (answered by ankor@dixie-net.com)

The width of a rectangle is decreased by 20%. By what percent would the length have to be (answered by Edwin McCravy)

The perimeter of a rectangle is 46m. If the width were doubled and the length were... (answered by nerdybill,gonzo)

The perimeter of a rectangle is 50m. If the width were doubled and the length increased (answered by math_helper,MathTherapy)

The dimensions of a rectangle are such that its length is 9 in. more than its width.... (answered by lwsshak3)

Here is the question below. I need to define the variable for x and y, write the... (answered by xcentaur)