Mr. Sinatra has fenced in a rectangular play area for his new dog (Penny) to play in. Currently, the fenced-in area is 4 times as long as it is wide. However, Mr. Sinatra is considering extending the length by 8 feet and decreasing the width by 2 feet. If the length is increased by 8 feet and the width is decreased by 2 feet, the area will be 240 square feet. What was the area of the original play area? Pls Need the explanation

The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude toward school, and study habits of students, scores range from 0 to 200. the mean score for u.s. college students is about 115, and the standard deviation is about 30. a teacher who suspects that older students have better attitudes toward school gives the ssha to 55 students who are at least 30 years of age. the mean score is 113.2. assume the population standard deviation is 30 for older students what is the margin of error for a 95% confidence interval for the population mean score for a. older students? b. compute the 95% confidence interval for the population mean score for older students. c. compute the 99% confidence interval for the population mean score for older students. d. compute the 88% confidence interval for the population mean score for older students.