Explanation:

Histograms and ogives are two types of graphical representations used in statistics. They are used to represent the frequency distribution of data.

- Histograms: A histogram is a graphical representation of data that uses bars to represent the frequency distribution of data. Histograms are used to display the distribution of continuous data. In a histogram, the horizontal axis represents the class intervals, and the vertical axis represents the frequency of observations in each interval.

- Ogives: An ogive is a graph that represents the cumulative frequency distribution of data. In an ogive, the horizontal axis represents the upper limits of the class intervals, and the vertical axis represents the cumulative frequency.

The breadth of the rectangle in histograms:

In a histogram, the width of each rectangle represents the class interval, and the height represents the frequency of observations in that interval. Therefore, the breadth of the rectangle is equal to the length of the class interval.

The breadth of the rectangle in ogives:

In an ogive, there are no rectangles, but the cumulative frequency is represented by a curve. Therefore, the concept of breadth of the rectangle does not apply to ogives.

Conclusion:

Hence, the correct answer is option 'B' - Histogram. The breadth of the rectangle is equal to the length of the class interval in a histogram.