We can break down one large area of the rectangle into several smaller boxes, using number bonds, to make the calculation easier. In mathematics, an area model is a rectangular diagram that is used to multiply and divide two numbers or expressions, in which the factors or the quotient and divisor define the length and width of the rectangle. What Is an Area Model of Multiplication and Division? In other words, when you consider the product 25 × 18, geometrically, we can interpret it as the area of a rectangle of length 25 units and width 18 units. If the rectangle has a length equal to 25 units and width 18 units, then this area can be calculated by finding the product 25 × 18. Area of a rectangle is the base of the area model of solving multiplication and division problems. The area of the rectangle given below is the shaded part. The space occupied by a flat shape or surface of an object is known as area. To understand the area model in math, we must understand the meaning of area first. This approach enhances understanding by connecting arithmetic operations to geometric concepts. For division, the area model helps visualize how a quantity is distributed into equal parts, with the quotient being the size of each part. In multiplication, it involves representing the two factors as the dimensions of a rectangle, and the product is the area of that rectangle. The area model is a visual strategy for both multiplication and division. It involves breaking down shapes into smaller units to better understand the relationship between numbers and their products. An area model is a visual representation used in mathematics to illustrate multiplication and factorization concepts.
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