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Anju plants 17956 mango trees in his far...

Anju plants 17956 mango trees in his farm and arranges them so that there are as many rows as there are mango trees in each row. Find the number of mango trees in each row.

A

124

B

126

C

134

D

144

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how many mango trees Anju can plant in each row, we need to find a number \( x \) such that the total number of mango trees (17956) can be arranged in \( x \) rows with \( x \) trees in each row. This means we are looking for a perfect square number since the total number of trees must equal the number of rows multiplied by the number of trees per row. ### Step-by-step Solution: 1. **Understand the Problem**: We need to find a number \( x \) such that \( x \times x = 17956 \). This means we are looking for \( x^2 = 17956 \). 2. **Calculate the Square Root**: To find \( x \), we will calculate the square root of 17956. \[ x = \sqrt{17956} \] 3. **Perform the Calculation**: - Using a calculator or estimating, we find: \[ x \approx 134.1 \] Since \( x \) must be a whole number, we check the nearest whole numbers. 4. **Check Perfect Squares**: We need to find the perfect squares near 17956. - Calculate \( 134^2 \): \[ 134^2 = 17956 \] - Calculate \( 135^2 \): \[ 135^2 = 18225 \] Since \( 134^2 = 17956 \), we confirm that \( x = 134 \). 5. **Conclusion**: The number of mango trees in each row is \( 134 \). ### Final Answer: The number of mango trees in each row is **134**.
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