Question

the two rectangles above are the same size. what is true about the rectangles? a. the rectangles are each cut into three unequal shares, and the two rectangles are each cut into different shapes. b. the rectangles are each cut into three equal shares, but the rectangles are each cut into different shapes. c. the rectangles are each cut into three equal shares, and the rectangles are both cut into the same shapes. d. the rectangles are each cut into three unequal shares, and the two rectangles are both cut into the same shapes.

Explanation:

Step1: Check if shares are equal

Each rectangle is divided into three parts. In the first rectangle (horizontal divisions), each horizontal strip has the same height (since the rectangle is divided equally vertically). In the second rectangle (vertical divisions), each vertical strip has the same width (since the rectangle is divided equally horizontally). So, each rectangle is cut into three equal - shares.

Step2: Check the shape of the shares

The first rectangle is divided into horizontal rectangles (the longer side is horizontal), and the second rectangle is divided into vertical rectangles (the longer side is vertical). So, the shapes (in terms of orientation) are different.

Answer:

B. The rectangles are each cut into three equal shares, but the rectangles are each cut into different shapes