NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions
Question 60

Question. 60

Each square area? Whole figure area=96. Find perimeter. (Fig. 6.21)

Answer:

Area each = 4 sq cm, Perimeter = 40 cm

Detailed Answer with Explanation:

  1. Look at the picture.

    The big shape is made of many equal small squares. There are 24 small squares in total.

  2. Find the area of one small square.

    Total area of the whole figure = (96 ext{cm}^2)

    Number of small squares = (24)

    Area of one small square = (dfrac{96}{24})

    (= 4 ext{cm}^2)

  3. Find the side length of one small square.

    For a square: ( ext{Area} = ext{side} imes ext{side})

    So, ( ext{side} = sqrt{4})

    (= 2 ext{cm})

  4. Understand “perimeter”.

    Perimeter means the total length around the outside of the figure.

  5. Count the boundary in small steps.

    Walk along the outer edge of the figure and count how many small–square sides lie on the boundary.

    (From Fig. 6.21, the boundary uses (20) such sides.)

    Each such side is (2 ext{cm}) long.

    Perimeter (= 20 imes 2)

    (= 40 ext{cm})

  6. Final answers.

    Area of each small square (= 4 ext{cm}^2)

    Perimeter of the whole figure (= 40 ext{cm})

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