Question

7056 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Answer 1

Step-by-step explanation:

Question :

7056 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Solution :

Let the number of rows and columns be y as they are equal.

→ y X y = 7056

→ y² = 7056

→ y = √7056

• We can find the square root of 7056 by prime factorisation or by long division method. I have done by long division method. For that, please refer to the attachment.

→ y = 84

∴ No. of rows and the number of plants

in each row is 84.

Answer 2

Answer:

The number of rows are $84$ and in each row, the number of plants is $84$.

Step-by-step explanation:

Given: Total number of plants to be planted = $7056$

Let the number of rows be $x$.

According to the question,

Each row must contains the as plants as the number of rows, i.e.,

The each row contains the plants = $x$

Now,

Total number of plants in the garden = number of rows × number of plants in each row

⇒ 7056 = $x\times x$

⇒ 7056 = $x^2$

⇒ $x=\sqrt{7056}$

⇒ $x=\sqrt{2\times 2\times 2\times 2\times3\times 3\times7\times 7}$

⇒ $x=84$

Therefore, the number of rows are $84$ and in each row, the number of plants is $84$.

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