10. If one side of a square is increased by one and the other side is increased by two, a rectangle is formed with an area of 2 less than twice the area of the square. Find the length of a side of the square.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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10. If one side of a square is increased by one and the other side is increased by two, a rectangle is formed with an area of 2 less
than twice the area of the square. Find the length of a side of the square.
11. The length of a rectangle is 8 and the width is 6. If each dimension is increased by the same amount, a new rectangle is formed
with an area of 72 more than the area of the original rectangle. Find the dimensions of the new rectangle.
Transcribed Image Text:10. If one side of a square is increased by one and the other side is increased by two, a rectangle is formed with an area of 2 less than twice the area of the square. Find the length of a side of the square. 11. The length of a rectangle is 8 and the width is 6. If each dimension is increased by the same amount, a new rectangle is formed with an area of 72 more than the area of the original rectangle. Find the dimensions of the new rectangle.
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