Question

A square garden has a length of 'a' meter, where 'a' is an integer. Which of these cannot be the area of the garden. 1. 17424 2. 13689 3. 74302 4. 46225.

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Answer 1

Answer:

Option 3, 74302

Step-by-step explanation:

First, we need to find the area of the garden. As the garden is in a square shape and the length of a side is 'a' metres, We can say that the area of the garden is 'a' squared, as the area of a square is side squared.

Now, we can confirm that the area of the garden should be a perfect square.

A trick to find if a number is a perfect square or not is stated below:

If the number ends with the digits 2, 3, 7 or 8, the number is not a perfect square.

Here, one of the options has a number with the last digit 2 (i.e., 74302). We can say, from the trick above, that this number is not a perfect square.

Hence, we can say that 74302 [Option. 3] is not a possible area of the garden.

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