The dimensions of a rectangular garden in feet are (3m + 7) and (2m + 8), where m is a positive integer. Which expression represents the area of the garden in square feet?
6m^2 + 14m + 56
5m^2 + 15
6m^2 + 38m + 56
5m^2 + 56
To find the area of a rectangle, we need to multiply the length by the width. In this case, the length is (3m + 7) and the width is (2m + 8).
Area = length * width
= (3m + 7) * (2m + 8)
= 6m^2 + 24m + 14m + 56
= 6m^2 + 38m + 56
Therefore, the expression that represents the area of the garden is 6m^2 + 38m + 56.