One side of a square is increased by 6 cm, and the adjacent side is increased by 3 cm. If the area of the newly-created rectangle is 304 cm², a) write a quadratic equation to represent this situation. b) Using your equation from part a), algebraically determine the original dimensions of the square.
One side of a square is increased by 6 cm, and the adjacent side is increased by 3 cm. If the area of the newly-created rectangle is 304 cm², a) write a quadratic equation to represent this situation. b) Using your equation from part a), algebraically determine the original dimensions 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
Chapter4: Polynomials
Section4.10: Problems Without Solutions
Problem 12P
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Question
![One side of a square is increased by 6 cm, and the
adjacent side is increased by 3 cm. If the area of
the newly-created rectangle is 304 cm²,
a) write a quadratic equation to represent this
situation.
b) Using your equation from part a), algebraically
determine the original dimensions of the square.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f4da8d0-3ad0-4e80-8fee-6cfa78b22b16%2F5f05520c-3fb2-4656-987f-6c35f8d6c5be%2Ffa2ya3i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:One side of a square is increased by 6 cm, and the
adjacent side is increased by 3 cm. If the area of
the newly-created rectangle is 304 cm²,
a) write a quadratic equation to represent this
situation.
b) Using your equation from part a), algebraically
determine the original dimensions of the square.
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