Identify Marked Parts: Analyzing Red-Shaded Rectangles in a Grid Pattern

Question

What is the marked part?

Video Solution

Step-by-Step Solution

To determine the marked part, we need to calculate the fraction of the diagram that is shaded red.

First, we count the total number of rectangles in the diagram. There are 10 rectangles visible along a straight line.

Next, we count the number of rectangles shaded red. There are 8 red rectangles in the diagram.

Therefore, the fraction of the total diagram that is marked red is calculated as Number of Red RectanglesTotal Number of Rectangles=810 \frac{\text{Number of Red Rectangles}}{\text{Total Number of Rectangles}} = \frac{8}{10} .

This fraction simplifies to 45 \frac{4}{5} , but the answer provided is in the form 810 \frac{8}{10} , which is equivalent.

Therefore, the marked part of the diagram is 810 \frac{8}{10} .

Answer

810 \frac{8}{10}