SOLUTION: how long is each side of a square if 2 parallel side of a side of a square are increased by 6 inches and the two parallel sides are each decreased by 1 inch, a rectangle is formed

Algebra ->  Human-and-algebraic-language -> SOLUTION: how long is each side of a square if 2 parallel side of a side of a square are increased by 6 inches and the two parallel sides are each decreased by 1 inch, a rectangle is formed       Log On


   

Question 350089: how long is each side of a square if 2 parallel side of a side of a square are increased by 6 inches and the two parallel sides are each decreased by 1 inch, a rectangle is formed having 2 times the area of square
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: area of a rectangle is l*w
Let x be the length of the side of the square
.
Write as You Read
%28x+%2B+6%29%2A%28x+-1%29+=+x%5E2
.
solve
x%5E2+%2B5x+-6+=+x%5E2
5x+-6+=+0
x+=+%286%2F5%29in
.
Check your answer
%2836%2F5%29%2A%281%2F5%29+=+%286%2F5%29%5E2