Number of Rectangles in N x N Squares

Q. How many rectangles does a 2x2 square have?

1. 4
2. 6
3. 9
4. 8

Q. How many rectangles does a chess board has?

1. $1^3+2^3+3^3+......+8^3$
2. $1^3+2^3+3^3+......+7^3$
3. $1^3+2^3+3^3+......+9^3$
4. $1^3+2^3+3^3+......+{10}^3$

Q. Each of the diagonal of a square is 288cm.Calculate it’s side

Q. Consider six squares with sides of different lengths.the lengths of sides of squares is in direct proportion to:
a) perimeter of the square
b) area of the square
c) diagonal of square
d) perimeter of square/ area of square

Q. How many rectangles does a 5 x 5 square have?

1. $1^3$ + $2^3$ + $3^3$ + $4^3$ + $5^3$
2. $1^3$ + $2^3$
3. $5^3$
4. $1^3$ + $2^3$ + $3^3$

Q. How many rectangles does a $4\times 4$ square has?

1. $1^3+2^3+3^3+4^3$
2. $1^3+2^3+3^3$
3. $1^3+2^3+3^3+4^3+5^3$
4. $1^3+2^3+3^3+4^3+5^3+6^3$

Q.

A square yard has area 1764 m². From a corner of this yard, an-other square part of area 784 m² is taken out for public utility. The remaining portion is divided in to 5 equal square parts. What is the perimeter of each of these equal parts?

Q. Find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres.

Q. A gardener has $1000$ plants.He wants to plants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

1. 12
2. 24
3. 11
4. 23

Q.

A square field has side 20 m. Find the length of the wire required to fence it four times.

Q. How many rectangles does a $3\times 3$ square has?

1. $6^2$
2. ${10}^2$
3. $7^2$
4. $8^2$