Home
Class 7
MATHS
squares of each side 1 m makes a square ...

______ squares of each side 1 m makes a square of side 5 km.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how many squares of each side 1 meter are needed to make a square of side 5 km, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the dimensions**: - We have a large square with a side length of 5 km. - We have small squares with a side length of 1 m. 2. **Convert the dimensions to the same unit**: - Since the small squares are in meters, we need to convert the side of the large square from kilometers to meters. - 1 km = 1000 m, so 5 km = 5 × 1000 m = 5000 m. 3. **Calculate the area of the large square**: - The area \( A \) of a square is given by the formula \( A = \text{side} \times \text{side} \). - For the large square: \[ A_{\text{large}} = 5000 \, \text{m} \times 5000 \, \text{m} = 25,000,000 \, \text{m}^2. \] 4. **Calculate the area of the small square**: - The area of the small square is: \[ A_{\text{small}} = 1 \, \text{m} \times 1 \, \text{m} = 1 \, \text{m}^2. \] 5. **Determine how many small squares fit into the large square**: - To find the number of small squares needed to cover the area of the large square, we divide the area of the large square by the area of one small square: \[ x = \frac{A_{\text{large}}}{A_{\text{small}}} = \frac{25,000,000 \, \text{m}^2}{1 \, \text{m}^2} = 25,000,000. \] 6. **Express the answer in scientific notation**: - The number of small squares can also be expressed as: \[ x = 25 \times 10^6. \] ### Final Answer: Therefore, the number of squares of each side 1 m needed to make a square of side 5 km is **25,000,000** or **25 × 10^6**.
Promotional Banner

Topper's Solved these Questions

  • PERIMETER AND AREA

    NCERT EXEMPLAR|Exercise Exercise|96 Videos
  • PERIMETER AND AREA

    NCERT EXEMPLAR|Exercise Exercise (Fill in the blanks)|19 Videos
  • LINES AND ANGLES

    NCERT EXEMPLAR|Exercise Exercise (fill in the blanks) |3 Videos
  • PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES

    NCERT EXEMPLAR|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

If p squares of each side 1mm makes a square of side 1cm, then p is

In Fig 6.1, a square of side 1 cm is joined to a square of side 3 cm. The perimeter of the new figure is

How many squares of side 5 cm can be placed over a square of side 30 cm such that no two smaller squares overlap?

The area of a square lawn of side 15 m is

Find the area of a square plot of side 8m.

If the side of a small square is (1)/(10)m, how many squares will get accommodated in a square of side 4m?

Find in square metres,the area of a square of side 16.5 dam.

If in a triangle, square of one side is equal to the sum of squares of the other two sides, then the angle opposite the first side is :

Find the area of a square whose side is 5cm.