SOLUTION: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 16. How many inches in the side of the original square?

Question 1162524: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 16. How many inches in the side of the original square?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.


The problem says


     = 16x^2.


Take the square root of both sides.  You will ger


    x + 4 = 4x.


    4 = 4x - x

    4 = 3x

    x =  inches.    ANSWER

Solved.

RELATED QUESTIONS
Each side of a square is increased 8 inches. When this happens, the area is multiplied by (answered by ikleyn)

Each side of a square is increased 9 inches. When this happens, the area is multiplied by (answered by ikleyn,Theo,greenestamps)

Each side of a square is increased 6 inches. When this happens, the area is multiplied by (answered by josgarithmetic)

Each side of a square is increased 4 inches. When this happens, the area is multiplied by (answered by ikleyn)

Each side of a square is increased 5 inches. When this happens, the area is multiplied by (answered by richwmiller)

Each side of a square is increased 6 inches. When this happens, the area is multiplied by (answered by macston)

Each side of a square is increased 7 inches. When this happens, the area is multiplied by (answered by Alan3354)

Each side of a square is increased 5 inches. When this happens, the area is multiplied by (answered by Alan3354)

A square has a side of A inches. If each side is increased by m inches to form a new... (answered by TimothyLamb)