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Knowledge about trapezoids is quite common for first-grade students. To review problems related to trapezoid area, follow the information and illustrated examples below.
Firstly, let's define what a trapezoid is. A trapezoid is a convex quadrilateral with two pairs of opposite sides parallel, known as the bases. The other two sides are the legs. Additional properties include the sum of adjacent angles equaling 360 degrees, and the line connecting the midpoints of the legs is called the median of the trapezoid.
Types of trapezoids include: Rectangular trapezoid (with one right angle), isosceles trapezoid (with two adjacent sides equal in length), and right-angled isosceles trapezoid (essentially a rectangle).
HOW TO CALCULATE THE AREA OF A TRAPEZOID
Trapezoid area formula: S = 1⁄2 h (a + b) (The area of a trapezoid is half the product of the sum of its bases and the height corresponding to the bases, with the unit of area being square meters).
Explanation of the formula:
S: Trapezoid area
a, b: Lengths of the two bases of the trapezoid
h: Length of the altitude
To easily remember how to calculate the area of a trapezoid, you can memorize the following rhyme:
To find the trapezoid area
Add the lengths of the big and small bases
Then multiply by the height
No matter how you do it, just divide the result by two.
Here's an illustrative example to help you apply the trapezoid area formula.
Problem: Given trapezoid ABCD with small base AB = 5 cm, large base DC is twice the length of AB. The height of the trapezoid AH = 6 cm. Calculate the trapezoid area.
Solution:
The problem states:
AB = 5 cm
DC is twice AB, thus DC = 10 cm
AH = 6 cm
Applying the trapezoid area formula, we are allowed to calculate:
Result:
Answer: 40 cm2
In the case where trapezoid ABCD is right-angled at D, the height of the trapezoid is equal to side AD, and the calculation of the area of a right-angled trapezoid can be applied using the same formula as mentioned above.
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This article helps you review how to calculate the trapezoid area and apply the formula to specific problems. If you encounter more complex problems or want to supplement knowledge about rectangle area, circle area, etc., please leave the problems for us to solve. Wishing you successful studies.
