Question

# The area of a square field is 729 square feet (sq. ft.). What is the side length of square field?

A
33
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B
37
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C
23
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D
27
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Solution

## The correct option is D 27Given: Area of square field =729 sq. ft. To Find: Side length of square field As given in the hint, the area of the square field is side2. ∴ Side length =√Area=√729 ft. Let's find the √729 using the long division method. Step 1: Place a bar over the pair of numbers starting from the unit place or right side of the number. ¯¯¯7 ¯¯¯¯¯¯29. Step 2: Take the largest number as the divisor whose square is less than or equal to the number on the extreme left of the dividend (7). Divide and write the quotient. Here the quotient is 2 and the remainder is 3. Step 3: Next, we bring down the number, which is under the bar, to the right side of the remainder. Here, we bring down 29. So, 329 is our new dividend. Step 4: Now, double the value of the quotient and enter it with a blank on its unit place. Step 5: Next, we have to select the largest digit for the unit place of the current divisor (4−) such that the new divisor, when multiplied by the new digit at its unit place, is equal to or less than the current dividend (329). In this case, 47–×7–=329. So the unit's place digit is 7. Step 6: Finally, the remainder is 0, and we have no number left for division, therefore, the square root of 729 is the final quotient, i.e., √729=27. ∴ The side length of square field with area 729 square feet is 27feet–––––––. Hence, option (d.) is the correct one.

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