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? HINT: Use quadratic equations