11/11/2023 0 Comments Isosceles trapezoid area formula![]() ![]() ![]() Area of a trapezoid = ½ (a + b) h where h = 4 cm, a =10 cm b = 16 cm On substituting values we get: Area = ½ (10 + 16) × 4 Area = ½ × 26 × 4 Area = 52 cm 2 We can calculate by adding area of the rectangle and two triangles Area of trapezoid = Area of ABPQ + Area of ADP + Area of BQC Area of trapezoid = (l × b) + 2( ab/2) Area of trapezoid = (10 × 4) + 2(3 ×4/2) A = 40 + 12 A = 52 cm 2 We can calculate the area using the formula. Step 4: Now we know all the dimensions of the trapezoid. In the right-angled triangle ADP AP = √(AD 2 – DP 2) AP = √(5 2 – 3 2) AP = √(25 – 9) = √16 = 4 cm Since ABQP is a rectangle, the opposite sides will be equal. Since ABQP is a rectangle, AB = PQ DC = 16 cm (Given) So, PQ = AB We can find the combined length of DP + QC as follows DC – PQ = 16 – 10 = 6 cmSo, DP + QC = 6 6 ÷ 2 = DP = QC 3 cm = DP = QC Step 3: AP = BQ (opposite and equal sides of a rectangle) AD = BC = 5 cm (Given) So, we can calculate the height AP and BQ using Pythagoras theorem. Step 2: Now, we have to find the length of DP and QC. Now we can see that the trapezoid consists of a rectangle ABQP and 2 right-angled triangles, APD and BQC. Given: a =10 cm b =16 cm non-parallel sides = 5 cm each Step 1: To find the height of the trapezoid, we will first draw the height of the trapezoid on both sides. Solution: Since in this question, we don’t have the height of the trapezium, we will follow the following steps to calculate the area of the trapezoid. The area of the trapezoid = A = ½ (a + b) h A = ½ (22 + 10) × (5) A = ½ (32) × (5) A = ½ × 160 A = 80 cm 2Įxample 2: Find the area of a trapezoid whose parallel sides are given as 10cm and 16cm, respectively, and the non-parallel sides are 5cm each. Solution: Given: The bases are : a = 22 cm b = 10 cm the height is h = 5 cm. Example 1: Find the area of a trapezoid given the length of parallel sides 22 cm and 12 cm, respectively. Here is an area of a trapezoid example using the direct formula and an area of a trapezoid example with the alternative method. ‘h’ is the height, i.e., the perpendicular distance between the parallel sides. We can calculate the area of a trapezoid if we know the length of its parallel sides and the distance (height) between the parallel sides. What is the Formula To Calculate the Area of Trapezoids? (see example 2 for a more precise understanding) Finally, we will add the area of the polygons to get the total area of the trapezoid. Next, we will find the area of the triangles and rectangles separately. For the second method, firstly, if we are given the length of all the sides, we split the trapezoid into smaller polygons such as triangles and rectangles.The first method is a direct method that uses a direct formula to find the area of a trapezoid with the known dimensions (see example 1).There are two approaches to finding the area of trapezoids. The area of a trapezoid is the complete space enclosed by its four sides. Real-life examples where you can see the area of trapezoids are handbags, popcorn tins, and the guitar-like dulcimer. When the other two sides are non-parallel, they are called legs or lateral sides. The formula to calculate the area of an isosceles trapezoid is Area = (sum of parallel sides ÷ 2) × height.What is a trapezoid? A trapezoid or trapezium is a quadrilateral with at least one pair of parallel sides. What is the Formula for Area of an Isosceles Trapezoid? In a trapezoid, each side is of different lengths and the diagonals are not congruent, whereas, in an isosceles trapezoid the non-parallel sides are equal, the base angles are equal, the diagonals are congruent and the opposite angles are supplementary. What is the Difference Between a Trapezoid and an Isosceles Trapezoid? Find the Other Base Angle.Īccording to the property of an isosceles trapezoid, the base angles are equal, therefore if one base angle is 30°, then the other base angle will be equal to 30°. If One Base Angle of Isosceles Trapezoid is 30°. ![]() The two opposite sides (bases) are parallel to each other and the other two sides are equal in lengths but non-parallel to each other. In an isosceles trapezoid, the number of sides is four. What are the Properties of an Isosceles Trapezoid? The bases of an isosceles trapezoid are parallel to each other along with the legs being equal in measure. An isosceles trapezoid is a type of quadrilateral where the line of symmetry bisects one pair of the opposite sides. FAQs on Isosceles Trapezoid What is an Isosceles Trapezoid?Īn isosceles trapezoid is a type of trapezoid that has nonparallel sides equal to each other.
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