NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice Questions
Question 16

Question.  16

The area of a square having each side x is

(A)

x × x

(B)

4x

(C)

x + x

(D)

4 + x

Detailed Answer with Explanation:

Step 1: A square has all sides equal.

Step 2: Formula for the area of a square is:
( ext{Area} = ext{side} imes ext{side})

Step 3: Here, each side is (x). So:
( ext{side} = x)

Step 4: Put the value in the formula:
( ext{Area} = x imes x)

Step 5 (optional simplification):
(x imes x = x^{2})

Why the other options are wrong?

  • 4x — this is the perimeter, not area.
  • x + x — this is (2x), not an area.
  • 4 + x — this mixes a number and a variable; not an area formula.

Correct option: A ((x imes x))

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NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Multiple Choice Questions | Detailed Answers