Good day to All,
The question asked what are the dimensions of a square that can be cut from a cross-section of a tree log. The diameter of the log is given as 40cm. In my pic below it may not look like a square, but it is; sorry for the error produced in drawing it.
So, what i first deduced is that if x cm of equal length is cut to make a square, we are left with a square of dimensions (40-2x).
Then i found the area of the log's cross-section using:
Then I used length x width = Area to make a quadratic equation to solve for x:
Solving the Quad equ gives: x = 37.4 or 2.3 (37.4 exceeds)
The logical ans is 2.3, So> 40 - 2(2.3)= 36.4 cm
However, the ans is 33.9cm...
Thanks in advance.