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I see you've uploaded an image of a math worksheet. I'll transcribe and address the questions step by step.

Here are the first few questions from the worksheet:

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### 1. The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What is the length and the breadth of the pool?

**Let:**
- \( l \) be the length of the pool.
- \( b \) be the breadth of the pool.

The perimeter \( P \) of a rectangle is given by:
\[
P = 2(l + b)
\]

From the problem:
- \( P = 154 \) m
- \( l = 2b + 2 \)

Substituting into the perimeter equation:
\[
2((2b + 2) + b) = 154
\]

Solve for \( b \), then substitute to find \( l \).

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### 2. Find the Pythagorean triplets in which one member is 6.

A Pythagorean triplet consists of three integers \( a \), \( b \), and \( c \) such that:
\[
a^2 + b^2 = c^2
\]
We know one of the members is 6, so we can use different possibilities (e.g., \( a = 6 \)) and find the corresponding triplets.

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### 3. Using appropriate properties, simplify:

i) \( \frac{2}{5} \times \left(-\frac{3}{7}\right) - \frac{1}{6} \times \frac{3}{2} + 1 \div \frac{14}{2} \)

ii) \( -\frac{4}{5} \times \frac{3}{7} \times \frac{15}{16} \times \left(-\frac{14}{9}\right) \)

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### 4. i) 2025 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.

This means the arrangement is a square number. You need to find the square root of 2025 to get the number of rows and the number of plants per row.

ii) A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and columns remains the same. Find the minimum number of plants he needs to complete this.

This is another square number problem, where we need to find the nearest square greater than 1000.

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Would you like me to go ahead and solve these or focus on any specific question from the worksheet?

The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What is the length and the breadth of the pool?

Solve a geometry problem involving the perimeter of a rectangle. Learn how to find the length and breadth of a rectangular pool, with the length being 2 meters more than twice the breadth, given that the perimeter is 154 meters.

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