Answer:
[tex]4x^2+34x-28=0[/tex]
x = 0.76
Step-by-step explanation:
We can write the area of steel before it is cut as:
Area = [tex](11+2x)*(6+2x)cm^2[/tex]
Expanding it by multiplying the brackets to get:
Area = [tex]4x^2+22x+12x+66[/tex]
Area area of steel before cutting = [tex]4x^2+34x+66[/tex]
Then we need the area of steel after 11*6 inside dimensions are cut out:
[tex]4x^2+34x+66-(11*6)=4x^2+34x[/tex]
This area should be close to 28 cm[tex]^2[/tex], hence the equation becomes:
[tex]4x^2+34x-28=0[/tex]
Moreover, plotting the graph gives us a value of x = 0.76.
