SOLUTION: A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring       Log On


   

Question 1081794: A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
dimensions
%282x%2B3ft%29 by %28x%2B6ft%29
If the garden is A=95ft%5E2, than
%282x%2B3ft%29%28x%2B6ft%29=95ft%5E2.............solve for x
2x%5E2%2B3xft%2B12xft%2B18ft%5E2=95ft%5E2
2x%5E2%2B15xft%2B18ft%5E2-95ft%5E2=0
2x%5E2%2B15xft-77ft%5E2=0
2x%5E2+-7x%2B22x-22+=+0
%282x%5E2+-7x%29%2B%2822x-77%29+=+0
x%282x+-7%29%2B11%282x-7%29+=+0
%28x+%2B+11%29%282x+-+7%29+=+0

solutions: x=-11 or x=7%2F2
to find dimensions, use positive solution:
%282%2A%287%2F2%29%2B3%29ft ->10ft
%287%2F2%2B6%29ft%29->9.5ft