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A piece of string is 30 cm long. What wi...

A piece of string is 30 cm long. What will be the length of each side if the string is used to form :
a square ?

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To find the length of each side of a square formed by a piece of string that is 30 cm long, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We have a piece of string that is 30 cm long, and we want to use this string to form a square. The length of the string represents the perimeter of the square. **Hint**: Remember that the perimeter of a shape is the total distance around it. 2. **Formula for Perimeter of a Square**: The formula for the perimeter (P) of a square is given by: \[ P = 4 \times \text{side} \] where "side" is the length of one side of the square. **Hint**: The perimeter of a square is four times the length of one side. 3. **Set Up the Equation**: Since the length of the string is equal to the perimeter of the square, we can write: \[ 30 \, \text{cm} = 4 \times \text{side} \] **Hint**: Substitute the value of the perimeter into the formula. 4. **Solve for the Side Length**: To find the length of each side, we need to isolate "side" in the equation. We do this by dividing both sides of the equation by 4: \[ \text{side} = \frac{30 \, \text{cm}}{4} \] **Hint**: When you divide, make sure to simplify the fraction properly. 5. **Calculate the Length of Each Side**: Now, perform the division: \[ \text{side} = 7.5 \, \text{cm} \] **Hint**: Double-check your division to ensure accuracy. ### Final Answer: The length of each side of the square is **7.5 cm**.
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MTG IIT JEE FOUNDATION-MENSURATION-NCERT Section (Exercise 10.1)
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  2. Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and...

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  3. Find the perimeter of a square with each side measuring 4 m.

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  4. Find the side of the regular hexagon whose perimeter is 36 m.

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  5. The perimeter of a regular pentagon is 250 cm. How long is its each si...

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  7. A piece of string is 30 cm long. What will be the length of each side ...

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  8. A piece of string is 30 cm long. What will be the length of each side ...

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  9. One side of an isosceles triangle is 16 cm . The perimeter of the tria...

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  10. Find the cost of fencing a square park of side 250 m at the rate of Rs...

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  11. Find the cost of fencing a rectangular park of length 175m and brea...

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  12. Sweety runs around a square park of side 75 m. Bulbul runs around a ...

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  13. What is the perimeter of each of the following figures ?

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  14. What is the perimeter of each of the following figures ?

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  15. What is the perimeter of each of the following figures ?

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  16. What is the perimeter of each of the following figures ?

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  17. Avneet buys 9 square paving slabs, each with a side of 1/2 m. He lays ...

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  18. Avneet buys 9 square paving slabs, each with a side of (1)/(2)m. He la...

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  19. Avneet buys 9 square paving slabs, each with a side of (1)/(2)m. He la...

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  20. Avneet buys 9 square paving slabs, each with a side of 1/2m . He la...

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