SOLUTION: A rectangle is cut from the corner of a 10-inch by 10-inch of paper. The area of the remaining piece of paper is 4/5 of the area of the origianl peice of paper. If the width of t

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Question 155485This question is from textbook Algebra I
: A rectangle is cut from the corner of a 10-inch by 10-inch of paper. The area of the remaining piece of paper is 4/5 of the area of the origianl peice of paper. If the width of the rectangle removed from the paper is 4 inches, what is the length of the rectangle?
This question is from textbook Algebra I

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the original sheet of 10X10 sheet of paper is:
A+=+L%2AW
A+=+10%2A10
A+=+100sq.in.
The remaining area after the removal of the rectangular piece is given as:
a+=+%284%2F5%29%28100%29
a+=+80 so then, the area of the removed rectangular piece is just 100 - 80 = 20 sq.in.
The width of the removed piece is 4 inches, so, for the removed piece...
A+=+L%2AW
20+=+L%2A%284%29
L+=+20%2F4
L+=+5inches.