The area of steel before cutting:
Area =[tex](11+2x)*(6+2x)[/tex]cm²
= [tex]4x^{2}+22x+12x+66[/tex]
Hence, Area=[tex]4x^{2}+34x+66[/tex]
Area of steel after cutting out the 11*6 inside dimensions.
[tex]4x^{2}+34x+66-(11*6)=4x^{2}+34x[/tex]
As the area should be close to 28 cm square, so equation becomes:
[tex]4x^{2}+34x=28[/tex] or [tex]4x^{2}+34x-28=0[/tex]
Now for the answer, kindly see the image attached. It gives x=0.76
Hence, the answer is 0.76 cm.
