តើមានសឿន ២៥ គីឡូក្រាមនៅក្នុងក្រពុំដែលមានកម្ពស់ ១៥ ខែក្រោមង្កត់ តើការកំណត់ទំហំ A របស់គេនឹងប៉ះពាល់ដូចម្តេចដល់? តើមានសឿន ២៥ គីឡូក្រាមនៅក្នុងក្រពុំដែលមានកម្ពស់ ១៥ ខែក្រោមង្កត់ តើការកំណត់ទំហំ A របស់គេនឹងប៉ះពាល់ដូចម្តេចដល់?
Understand the Problem
សំណួរនេះកំពុងសួរអំពីការគណនាគ្រួសថវិកាជាមួយគ្នានៅក្នុងសំណុំបែបបទបានផ្សេងៗដែលមានទំហំជាងអចិន្រ្តៃដង់។ នេះនឹងពិនិត្យពីវិធីដោះសោរការគណនាសម្រាប់ការផ្គន់ផ្គងធាតុជាមួយគ្នា និងទំហំរយៈពេលដែលបានផ្ដល់ជូន។
Answer
The area of the trapezoid is \( A = 195 \) square meters.
Answer for screen readers
The area of the trapezoid is ( A = 195 ) square meters.
Steps to Solve
-
Identify the shape and dimensions
According to the question, we have a trapezoid with a height of 15 meters and bases of 25 meters and 1 meter. -
Use the trapezoid area formula
The area ( A ) of a trapezoid can be calculated using the formula:
$$ A = \frac{1}{2} \times (b_1 + b_2) \times h $$
Where ( b_1 ) and ( b_2 ) are the lengths of the two bases, and ( h ) is the height. -
Substitute the values into the formula
Here, ( b_1 = 25 ) meters, ( b_2 = 1 ) meter, and ( h = 15 ) meters.
Now substituting the values gives:
$$ A = \frac{1}{2} \times (25 + 1) \times 15 $$ -
Calculate the total area
First, calculate ( 25 + 1 = 26 ).
Then, compute:
$$ A = \frac{1}{2} \times 26 \times 15 $$ -
Finish the calculation
Calculate ( \frac{1}{2} \times 26 = 13 ), then multiply by 15:
$$ A = 13 \times 15 = 195 $$
The area of the trapezoid is ( A = 195 ) square meters.
More Information
This type of problem is common in geometry, involving calculating the area of a trapezoid using a simple formula that involves only the bases and height. Understanding how to use the trapezoid area formula can help in similar geometry problems.
Tips
- Misidentifying the shape of the figure. Ensure you recognize it as a trapezoid.
- Incorrectly applying the formula, particularly forgetting to divide by 2 or adding the base lengths incorrectly.
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