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 1/4the area of the original square. what was the side length of the original square?

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

The length of the smaller square is

The area of the smaller square is

The area of the smaller square is 1/4 the area of the original square

so

solve for x

Multiply by 4 both sides

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts  3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

486in is correct

step-by-step explanation: