GATE ECE 2023 | GA | Question: 5

Question

How many rectangles are present in the given figure?

 

• A. $8$
• B. $9$
• C. $10$
• D. $12$

Comments

10 rectangles we can get in figure 

---

Answer = 10.

Note:- Every square is a rectangle. Because a square meets all the criteria for being a rectangle

So while counting rectangles in the figure given just count the squares also.

Finally we get an answer as 10 rectangles total

Answer 1

We know that,

• All squares are rectangles, but not all rectangles are squares because not all rectangles have all sides of equal length.

Now, we can easily count the number of rectangles.

The number of rectangles in the above figure is:

• $\underbrace{1,2,3,4}_{{\color{Red} {\text{squares}}}} \Rightarrow 4$ rectangles
• $(1+2), (4+3), (1+4), (2+3), \underbrace{(1+2+3+4)}_{{\color{Red}{\text{squares}}}}\Rightarrow 5$ rectangles
• The big ${\color{Red}\text{square}}$ is also a rectangle.

Therefore, the number of rectangles $=10.$

Correct Answer: C

$\textbf{PS:}$ The number of squares $ = 6$

---

Now, we can calculate the number of triangles, in the given figure:

 

Therefore, the total number of triangles $=8+12=20.$

Comments

this is so confusing in question asked about rectangles then why you calculated triangles bro i didnt understand pls clarify me

---

In the first half part, solution for no. of rectangle is provided, i.e option (C) 10

The second half gives the solution for similar gate question asked in GATE 2023 EE 

---

It was unnecessary just read half part of his answer ( I THINK he just went GOD mode 🙂)

---

People are investing their time and hard work and giving us full knowledge, and instead of appreciating them you guys are mocking.

Answer 2

answer - 10 rectangles

note : every square is a rectangle , not every rectangle are square .