<PRE><B>Question 1119462</B>
A rectangle with its 4 corners removed.
 Each of the 4 identical corners removed is a quarter circle.
 Ratio of length to the breath of the rectangle is 12:5 
 It is 17 cm between the 2 removed corners at the length of the Rectangle
 It is 3 cm between the 2 removed corners at the breadth of the Rectangle 
 What is the radius of each quarter circle?
:
let r = the radius of the circle
{{{(17+2r)/(3+2r)}}} = {{{12/5}}}
cross multiply
5(17+2r) = 12(3+2r)
distribute
85 + 10r = 36 + 24r
85 - 36 = 24r - 10r
49 = 14r
r = 49/14
r = 3.5 cm is the radius
;
;
Check; 2r=7: length 17+7; width 3+7
{{{24/10}}} = {{{12/5}}}</PRE>