Question

each square in the grid is a unit square with an area of 1 square unit.
fill in the blanks.
rectangle a covers unit squares on the grid than rectangle b.
so, the area of rectangle a is than the area of rectangle b.

Explanation:

Step1: Count the number of unit - squares for each rectangle

Assume rectangle \(A\) covers \(4\) unit - squares (by counting the number of small squares it encloses). Assume rectangle \(B\) covers \(6\) unit - squares.

Step2: Compare the number of unit - squares

The number of unit - squares that rectangle \(A\) covers less than rectangle \(B\) is \(6 - 4=2\). Since the area of a shape (in terms of unit - squares) is directly related to the number of unit - squares it covers, and \(4<6\).

Answer:

Rectangle \(A\) covers \(2\) fewer unit squares on the grid than rectangle \(B\). So, the area of rectangle \(A\) is smaller than the area of rectangle \(B\).