A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. Through how many of the squares does a diagonal of the rectangle pass?
Choose one
A) 6	B) 8	C) 10	D) 12	E) 16
1)If the two sides are co-prime, SUM of sides -1..   2)and if not co-prime , Sum of sides - HCF of sides..   the difference is related to the diagonal passing through a vertex of squares at some place..   here 6 and 8 are NOT co-primes, so ans =6+8−HCF(6,8)=14−2=12   ANSWER:12
<result>D</result>
A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. Through how many of the squares does a diagonal of the rectangle pass?