Marcos needs you to help him calculate the size of the lid, with that he can make a box for the gift. He remembers that his client used as an example a square lid that he already had in the store and told him that the new lid should be 8 cm longer and 5 cm wider; Furthermore, the area of the lid he wants is 180 cm^2. a) Design the equation, based on the data that Marcos has about the measurements of the lid. b) Solve the equation and obtain the two results using the general formula for quadratic equations c) Choose one of the results obtained and answer the following questions: Why did you choose that result? How long is each side of the new lid?
Marcos needs you to help him calculate the size of the lid, with that he can make a box for the gift. He remembers that his client used as an example a square lid that he already had in the store and told him that the new lid should be 8 cm longer and 5 cm wider; Furthermore, the area of the lid he wants is 180 cm^2. a) Design the equation, based on the data that Marcos has about the measurements of the lid. b) Solve the equation and obtain the two results using the general formula for quadratic equations c) Choose one of the results obtained and answer the following questions: Why did you choose that result? How long is each side of the new lid?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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Marcos needs you to help him calculate the size of the lid, with that he can make a box for the gift. He remembers that his client used as an example a square lid that he already had in the store and told him that the new lid should be 8 cm longer and 5 cm wider; Furthermore, the area of the lid he wants is 180 cm^2.
a) Design the equation, based on the data that Marcos has about the measurements of the lid.
b) Solve the equation and obtain the two results using the general formula for quadratic equations
c) Choose one of the results obtained and answer the following questions:
Why did you choose that result?
How long is each side of the new lid?
HINT: Use quadratic equations
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