Question

2 decide if each equation can be used to represent the area model. choose yes or no for each equation. ?÷1,458 = 27 27×? = 1,458 1,458÷? = 27 ?×1,458 = 27 1,458÷27 = ?

Explanation:

Step1: Recall area - model formula

The area of a rectangle is $A = l\times w$. Here, if we assume the length is the unknown (?), width is 27 and area is 1458, then $1458=?\times27$ or $1458 = 27\times?$. Also, we can rewrite it as $1458\div27 =?$ or $1458\div? = 27$.

Step2: Analyze each equation

• For $?\div1458 = 27$, it is incorrect as it does not follow the area - model relationship.
• For $27\times? = 1458$, it is correct as it represents the area formula $A = l\times w$.
• For $1458\div? = 27$, it is correct as it is a rearrangement of the area formula.
• For $?\times1458 = 27$, it is incorrect as it does not match the area - model relationship.
• For $1458\div27 =?$, it is correct as it is a way to find the unknown side length in the area - model.

Answer:

A. No
C. Yes
E. Yes
G. No
I. Yes