Final answer:
To find the missing dimensions of Anna's rectangular garden with an area of 182 square feet and a length longer than the width, we identify factor pairs of 182. Possible dimensions include 7 feet by 26 feet or 13 feet by 14 feet.
Step-by-step explanation:
The student's question regarding Anna's rectangular garden with an area of 182 square feet pertains to finding the possible dimensions of the garden, given that the length is longer than the width. To tackle this problem, we need to find factors of 182 that will represent the length and the width of the garden.
Since the area of a rectangle is found by multiplying the length by the width (Area = length × width), we look for pairs of factors of 182 where one factor is greater than the other.
Some possible pairs of factors for 182 are (1, 182), (2, 91), and (7, 26), but since the question specifies that the length is longer than the width, the dimensions could be, for example, 7 feet by 26 feet or 13 feet by 14 feet, which both satisfy this condition.