Question

A farmer plants apple trees in a square platform. In order to protect the trees from wind, he planted evergreens all around the orchard.
The diagram below illustrates the pattern of apple tree and evergreens for any number (n) of rows of apple trees.

Answer 1

Given: Here is the pattern of apple tree and evergreens for any number (n) of rows of apple trees.

Find: Solve the questions given below the illustration?

Solution: 1) n No. of apple trees No. of evergreens

                    1    1 8

                    2   4 16

                    3  9 24

                    4  16 32

                    7        49 56

2) a) $n^{2}$

    b)8n

3) The number of evergreens increases more quickly.

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