Question

A gardener wants to plant 500 plants in such a way that number of plants in each row is equal to
the number of rows, but in doing so some plants were left out. Find the number of plants left out
this arrangement.
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Answer 1

Word Problem

Given:

  Number of plants = 500

  Number of plants in each row is equal to  the number of rows

To Find:

 The number of plants left out  in the arrangement.

Step-by-step explanation:

• Total number of plants = 500
• Let, the number of rows be x
• Number of rows = Number of plants in each row
• Total number of plants used is equal to x × x
• So, we need a perfect square that is the product of two equal integers.
• Hence 22 × 22 = 484 plants are used.
• So, the number of plants left out of the arrangement is 500 - 484 = 16

Hence, number of plants left out of the arrangement is 16.