# Length of a side of a square and its area vary directly with each other. State whether the statement is true (T) or false (F)

**Solution:**

The statement is True

If length of the side of the square is ‘s’ then the area is s²

Area(A) of Square of side s = s²

Hence the area of the square will increase if the length of the side increases and area will decrease if the length of the side decreases. Thus they vary directly with each other.

**✦ Try This:** If the length of the side of the square is 5 cm what will be the area of the square? If the length of the side increases to 6 then what will be the area? If the length of the side is decreased to 4 cm then what will be the area?

If length of the side of the square is ‘s’ then the area is s²

Area(A) of Square of side s = s²

If s = 5, then,

Area(A) = 5² = 25cm²

If s = 6, then

Area(A) = 6² = 36cm²

If s = 4, then

Area(A) = 4² = 16 cm²

It is evident from the above calculations that as length of the side of the square increases or decreases the area also increases or decreases respectively.

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 13

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 46**

## Length of a side of a square and its area vary directly with each other. State whether the statement is true (T) or false (F)

**Summary:**

Length of a side of a square and its area vary directly with each other is a True(T) statement.

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