SOLUTION: If the sides of a square are lengthened by 7 cm, and the area becomes 256 cm ^2. What is the length of a side of the original square?

Algebra.Com
Question 275219: If the sides of a square are lengthened by 7 cm, and the area becomes 256 cm ^2. What is the length of a side of the original square?
Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
(x+7)^2=256

x^2+14x+49=256

x^2+14x-207=0

(x-9)(x+23)=0

x=9 or x=-23

Answer: Original length is 9 cm

RELATED QUESTIONS

If the sides of a square are lengthened by 4cm, the area becomes 256 square cm. Find the... (answered by fractalier)
If the sides of a square are lengthened by 4cm, the area becomes 256 square cm. Find the... (answered by stanbon)
If the sides of a square are lengthened by 7 cm, the area becomes 121 cm^2. find the... (answered by jorel1380)
If the sides of a square are lengthened by 8 cm, the area becomes 144 cm^2. Find the... (answered by mananth)
If the sides of a square are lengthened by 7 cm, the area becomes 144cm^2. Find the... (answered by rapaljer)
if the sides of a square are lengthened by 5 cm, the area becomes 100 cm^2. find the... (answered by mananth)
If the sides of a square are lengthened by 6 cm, the area becomes 225 cm^2. Find the... (answered by solver91311)
If the sides of a square are lengthened by 8 cm, the area becomes 289 cm^2. Find the... (answered by 20071436)
if the sides of a square are lengthened by 8 cm, the area becomes 225 cm^2. Find the... (answered by solver91311,mananth)