SOLUTION: hi! how do u make a algebraic equation on this question: If the sides of a square are increased by 5cm, the area of the new square is four times the area of the original square. Fi

Question 252278: hi! how do u make a algebraic equation on this question: If the sides of a square are increased by 5cm, the area of the new square is four times the area of the original square. Find the length of a side of the original square.
Can you please show me how to solve this using the check. thanks!
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
equation is (x+5)^2 = 4x^2

(x+5)^2 = 4x^2
x^2+10x+25 = 4x^2
-3x^2+10x+25 = 0
(x-5)(3x+5) = 0
x-5=0 or 3x+5=0
x=5 or x=-5/3

Only answer is x=5. Original side length is 5 cm

Check:
Original area = 5*5 = 25
New area = (5+5)*(5+5) = 10*10 = 100 = 4*25
RELATED QUESTIONS
if the sides of a square are increased by 5 feet, the new area is 81 square feet. How... (answered by stanbon)

hi! i have a question i need help on about rectangles. this is the problem. a rectangle... (answered by richwmiller)

If the sides of a square are lengthened by 5cm, the area becomes 81cm^2. Find the length (answered by jojo14344)

If the sides of a square are lengthened by 5cm, the area becomes 81cm^2. Find the length... (answered by ankor@dixie-net.com)

If the sides of a square are increased by 4 cm, the area is increased by 4cm square. Find (answered by richard1234)

If sides of a square are lengthened by 5cm, the area becomes 169cm^2. Find the length of... (answered by richwmiller)

I cant seem to figure out what to do with this problem. Please help me solve this... (answered by scott8148)

The side of a square is 9 yds long. If all sides are increased by 7 yds,by how much is... (answered by josmiceli)

Hi, I solved this question , but not getting the correct answer which is 16m. Kindly... (answered by greenestamps)