Janet 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 of the area of the original square. what was the side length of the original square?

Let the side length of the original square be x, then

1/4 x^2 = (x - 3)^2

x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36

3x^2 - 24x + 36 = 0

3(x^2 - 8x + 12) = 0

x^2 - 8x + 12 = 0

x^2 - 2x - 6x + 12 = 0

x(x - 2) - 6(x - 2) = 0

(x - 6)(x - 2) = 0

x - 6 = 0 or x - 2 = 0

x = 6 or x = 2

therefore, the side length of the original square is 6 inches.

Hope this helps!

is it 35

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!