Solving the Math Puzzles: Height of Trees in a Park

This article explores a math problem involving the measurement and comparison of the heights of two trees in a park. The steps to solve the problem, along with a detailed breakdown, are provided, emphasizing the importance of accurate unit conversion and arithmetic.

Problem Statement

There are two trees in a park. The taller tree is 6 meters and 8 centimeters (m 8cm) in height. The shorter tree is 6 centimeters (cm) shorter than half the height of the taller tree.

Objective

The objective is to find the total height of both trees.

Solution Breakdown

Step 1: Convert the Height of the Taller Tree to Centimeters

The height of the taller tree is given as 6 meters 8 centimeters. This needs to be converted into centimeters for easier calculation.

1 meter 100 centimeters

Thus:

6 meters 600 centimeters

8 centimeters 8 centimeters

The height of the taller tree in centimeters is:

600 cm 8 cm 608 cm

Step 2: Calculate the Height of the Shorter Tree

The shorter tree is 6 cm shorter than half the height of the taller tree.

First, we calculate half the height of the taller tree:

Half of the taller tree's height 608 cm / 2 304 cm

Now, we subtract 6 cm to find the height of the shorter tree:

Height of the shorter tree 304 cm - 6 cm 298 cm

Step 3: Calculate the Total Height of Both Trees

Now we add the heights of both trees:

Total height Height of the taller tree Height of the shorter tree

Total height 608 cm 298 cm 906 cm

Conclusion

The total height of both trees is 906 centimeters.

Exploration of Math Puzzles and Problem-Solving Strategies

Understanding and solving math puzzles is a valuable skill that can enhance critical thinking and problem-solving abilities. It also helps in real-life applications, such as in garden design, construction, and architecture.

For more fun math puzzles and problem-solving strategies, explore our Quora Space. These puzzles not only engage the mind but also provide a practical way to apply mathematical concepts.

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