The length of the rectangle is 1 dm 6 cm and the width is 9 cm. What is the area of the rectangle.

1) We bring the length and width of the rectangle to one unit of measurement. Let’s translate 1 dm. 6 cm to centimeters. In 1 dm 10 cm, it means:
1 dm. 6 cm = 10 cm + 6 cm = 16 cm.
The length of the rectangle is 16 cm.
2) Find the area of the rectangle.
The area of a rectangle is the product of the lengths of its sides. Let’s write the formula for the area:
S = a × b,
where a is the length of the rectangle, b is the width.
S = 16 × 9 = 144 cm².
Answer: the area of the rectangle is 144 cm².