The length of a rectangle is (x+3) inches long, and the width is 3 2/5 inches. If the area is 15 3/10 square inches, write and solve an equation to find the length of the rectangle.

the length of the rectangle is 4.5 inches.

Step-by-step 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