Question 1135300
 Joe's rectangular garden is 6 meters long and 4 meters wide.
 He wishes to double the area of his garden by increasing its length and width by the same amount.
 Find the number of meters by which each dimensions must be increased. 
:
find the original area: 6 * 4 = 24 sq/m
let x = the no. of meters increase in both dimensions
(x+6)*(x+4) = 2(24)
FOIL
x^2 + 4x + 6x + 24 = 48
x^2 + 10x + 24 - 48 = 0
x^2 + 10x - 24 = 0
factors to
(x+12)(x-2) = 0
the positive solution
x = 2 meter increase in both dimensions
;
:
Check: 8 * 6 = 48