what is the original length of one side

Question

If the sides of a square are longer by 8cm, the area becomes 196cm^2. What is the lenght of one side of the original square?

Answer 1

If the sides of a square are longer by 8cm, the area becomes 196cm^2. What is the lenght of one side of the original square?

A= a*a = a^2

196 = a^2 ⇒ a = sqrt196 = 14 cm

lenght of one side of the original square = 14 - 8 = 6 cm

Answer 2

if one pair of opposite sides of a square are lengthened by 3 m and the adjacent sides are shortened by 1 m, the new are become 117 m^2. find the length of a side of the original square