How many rectangles are present in the given figure?
To determine how many rectangles are present in the given figure, we need to count all possible rectangles formed by the intersections of lines.
- Identify the grid created by the lines. In this image, we can see multiple lines intersecting to create squares and rectangles.
- Remember, a rectangle is formed by selecting two horizontal lines and two vertical lines. The space between these lines forms a rectangle.
- Count the rectangles formed by:
- Single Cells: Count the smallest rectangles formed by individual squares in the grid.
- Combinations of Cells: Larger rectangles that encompass multiple smaller squares or parts of squares.
- Begin counting:
- 1 square in each of the corner sections.
- Multiple rectangles across the center, formed by merging smaller grid sections.
After careful analysis, the number of rectangles in the figure is counted as follows:
- There are 4 small rectangles forming individual squares at the corners.
- 4 larger rectangles formed along each column and row intersecting.
- 2 rectangles formed by combining all smaller rectangles in the center part.
Total Number of Rectangles: 10
Therefore, the correct answer is 10.
Important Questions from 2D 3D Pattern Visualization
Three different views of a dice are shown in the figure below.
The piece of paper that can be folded to make this dice is
- Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B.
If viewed from direction Y, the planar image of the assembly (Figure A) will appear asA palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.
From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.
