SOLUTION: 4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation.

Algebra ->  Graphs -> SOLUTION: 4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation.       Log On


   

Question 155170: 4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let x = length

The area of a rectangle is 28 sq ft and the width is 3 feet shorter than the length


So the width is the expression: x-3


So the area is


Area = length * width


A+=+x%28x-3%29 Plug in the length of “x” and the width of x-3


28+=+x%28x-3%29 Plug in A=28


28+=+x%5E2-3x Distribute


0=x%5E2-3x-28 Subtract 28 from both sides.


0=%28x%2B4%29%28x-7%29 Factor the right side.


%28x%2B4%29%28x-7%29=0 Rearrange the equation.


So the solutions are x=-4 and x+=+7 which means that the width is 7 units.