Answer:
5
Step-by-step explanation:
Let s equal the length of the side of the original square. Then the side of the new square is s + 3.
(s+3)2s2+6s+9s2+6s−55(s−5)(s+11)s−5s======64640005orors+11s==0−11 The quantity s plus 3 end of quantity squared equals 64.S squared plus 6 multiplied by s plus 9 equals 64.S squared plus 6 multiplied by s minus 55 equals 0.The quantity s minus 5 end of quantity multiplied by the quantity s plus 11 end of quantity equals 0.S minus 5 equals 0 or s plus 11 equals 0.S equals 5 or s equals negative 11.
The solution −11 is not reasonable, so the side of the square is 5 centimeters.
