Answer: the length of the rectangle is 4.5 inches.
Explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The length of the rectangle is (x+3) inches long, and the width is 3 2/5 inches. Converting 3 2/5 to improper fraction, it becomes 17/5.
The area is 15 3/10 square inches. Converting 15 3/10 to improper fraction, it becomes 153/10. The area becomes
17/5 × (x + 3) = 153/10
Multiplying through by 10, it becomes
34(x + 3) = 153
34x + 102 = 153
34x = 153 - 102
34x = 51
x = 51/34
x = 1.5
Therefore, the length of the rectangle is
x + 3 = 1.5 + 3 = 4.5 inches