How many squares are there in the picture?
Answers
Answer:
25 sqaures please mark as brainlist answer please I need
ANSWER:
To Find:
- The number of squares in the picture.
Solution:
We are given a figure, and we need to find the number of squares in it.
1 matchstick = 1unit
We'll now count the squares.
1. Squares of dimension 1 × 1 = 21
⇒ 20 squares in the 4 × 5 rectangle.
⇒ 1 square made over the rectangle.
2. Squares of dimension 2 × 2 = 12
⇒ When we take squares of 2 units by 2 units, we can see that there are 12 squares formed.
Squares of dimension 3 × 3 = 6
⇒ When we take squares of 3 units by 3 units, we can see that there are 6 squares formed.
Squares of dimension 4 × 4 = 2
⇒ When we take squares of 4 units by 4 units, we can see that there are 2 squares formed.
Squares of dimension 1/2 × 1/2 = 4
⇒ When we take squares of 1/2 units by 1/2 units, we can see that there are 4 squares formed.
These squares are formed in the 1 × 1 square that is present over the rectangle.
So,
⇒ Total Squares = (Squares of dimension 1 × 1) + (Squares of dimension 2 × 2) + (Squares of dimension 3 × 3) + (Squares of dimension 4 × 4) + (Squares of dimension 1/2 × 1/2)
⇒ Total Squares = 21 + 12 + 6 + 2 + 4
⇒ Total Squares = 45
Therefore, total squares in the picture is 45.