SOLUTION: A rectangular garden has dimensions 6m x 4m. If each dimension is increased by the same amount, the area of the new rectangle is 50m^2. By how much is each dimension increased?

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Question 1079519: A rectangular garden has dimensions 6m x 4m. If each dimension is increased by the same amount, the area of the new rectangle is 50m^2.
By how much is each dimension increased?
What are the new dimensions of the garden?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, amount of increase in each dimension

%28x%2B6%29%28x%2B4%29=50
-
x%5E2%2B10x%2B24-50=0
x%5E2%2B10x-26=0

discrim, cross%28100%2B4%2A2%2A26=308=4%2A11%2A7%29
100%2B4%2A26=204=4%2A51

x=%28-10%2B2sqrt%2851%29%29%2F2

x=-5%2Bsqrt%2851%29

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
x, amount of increase in each dimension

%28x%2B6%29%28x%2B4%29=50
x%5E2%2B10x%2B24-50=0
x%5E2%2B10x-26=0

discriminant = 100%2B4%2A26=204+=+4%2A51

x=%28-10%2B2sqrt%2851%29%29%2F2

highlight_green%28x=-5%2Bsqrt%2851%29%29

x=2.14*meters