A rectangle is covered by 24 unit squares. There are no gaps or overlap. How can the area of the rectangle be found?

The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.

The area of the rectangle is half the number of unit squares that cover the rectangle. The area of the rectangle is 12 square units.

The area of the rectangle is double the number of unit squares that cover the rectangle. The area of the rectangle is 48 square units.

Choice A

The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.

Explanation:

Imagine drawing equally spaced grid lines to subdivide the rectangle. This splits the rectangle into smaller squares. In this case, each little square is 1 square unit. Having 24 of these squares leads to a total area of 24 square units.

We could have 8 rows and 3 columns of these squares to get 8*3 = 24 total. Or we could have 6 rows and 4 columns to get 6*4 = 24. Another configuration is 12 rows and 2 columns which leads to 12*2 = 24.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.