NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions
Question 25

Question. 25

The region given in Fig. 6.13 is measured by taking one small square as a unit. What is the area of the region?

Answer:

Area of the region = 18 square units

Detailed Answer with Explanation:

  1. Understand the unit: One small square on the grid is taken as one unit of area. So, area is counted by how many small squares are covered.
  2. What to count: Count only the complete small squares inside the figure. Each complete small square = (1) square unit.
  3. Scan the figure slowly: Move row by row (or column by column) and mark each complete square so you don’t count anything twice.
  4. Tally as you go: Keep a running total. For example:
    • After first few squares: total = (1 + 1 + 1 = 3)
    • Keep adding: (+1) for each full square you see.
  5. No partial squares here: In this figure, only full squares are covered (no halves or parts to combine).
  6. Final count: You will find 18 complete small squares.
  7. Therefore, area: ( ext{Area} = 18 imes 1 = 18) square units.

Area of the region = 18 square units.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 6: Mensuration – Problems and Solutions | Detailed Answers