SOLUTION: find the length of the side of a square, given that the area of the square minus the length of a side is 1056

Question 866832: find the length of the side of a square, given that the area of the square minus the length of a side is 1056
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
Set s = side length
area = 1056 - s
area = s^2
So 1056 -s = s^2
add -1056 + s to each side
0 = s^2 + s -1056
Since 1056 = 32 * 33 we can factor the above
0 = (s + 33)*(s - 32)
So s = -33 or s = 32
Since a side length must be positive , s = 32
So the area = 1056 - 32 = 1024
Notice that 32 * 32 = 1024 , so 32 for a side length checks out.
RELATED QUESTIONS
The sum of the areas of two squares is 85. the length of a side of the larger square... (answered by edjones)

Suppose that the area of a square is 3. Find the length of a... (answered by josmiceli)

find the length of the side of a square sign whose area is 50 square... (answered by robertb)

A square has a side length of 3x + 5. Write an expression is equivalent to the area of... (answered by mananth)

The area of a square with side length of 11inches (answered by rfer)

Find the length of the side of a square with an area of 10 square... (answered by Alan3354)

The area of a town's square is 14,400 square feet. Find the side length of the... (answered by Alan3354,ReadingBoosters)

One square has a side length that is 1 foot greater than that of a smaller square. If the (answered by josgarithmetic)

A square had a side length of (4m + 6). What is the area of the... (answered by checkley79)