Question

A large square is made of 16 congruent squares. What is the total number of squares of different sizes and there?

Answer 1

Answer:

The correct answer should be - 45 squares. The number of green squares = 4 small + 1 medium square = 5 squares. The number of brown squares = 4 small + 1 medium square = 5 squares. The number of pink squares = 4 small + 1 medium square.

Answer 2

Answer: 30 squares are possible in this case.

Step-by-step explanation:

Congruent squares means that all squares have identical dimension

Let us assume each of the sixteen squares have a=1cm

$No.\ of\ squares\ having\ dimension\1\times 1=16\\No.\ of\ squares\ having\ dimension\ 2\times 2=9\\No.\ of\ squares\ having\ dimension\ 3\times 3 =4\\No.\ of\ squares\ having\ dimension\ 4\times 4=1$

Therefore the total no. of squares possible will be=16+9+4+1=30.

You must be having the image in the question, If not you can draw and look for no. of possible squares in different dimensions.