Stacey has a square piece of cloth. she cuts 3 inches off of the length of the square and 3 inches off of the width. the area of the smaller square is 1/4 the area of the original square. what was the side length of the original square?

6 inches

Step-by-step explanation:

Let the original side of the square be x units.

Then area of the square = x square

When 3 inches is cut from both length and width the square becomes a smaller square with side x-3

New area = area of smaller square = (x-3)(x-3)

Given that smaller square is 1/4 the area of big square

i.e. (x-3)(x-3) = 1/4 (x) (x)

Take square root both the sides

(x-3) = x/2

Or 2x-6 = x

x = 6 inches.

tube or goog would be a great resource to with that question

2.14x - 12.18 = -5.76

add 12.18 to each side

2.14x -12.18 +12.18 = -5.76 +12.18

2.14 x =6.42

divide by 2.14

2.14x/2.14 = 6.42/2.14

x=3