A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. the non-parallel sides are 14 m and 13 m. find the area of the field.

  1. A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non
  2. A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non
  3. A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m . The non
  4. [Solved] A field in the shape of a trapezium, whose parallel sides me
  5. Trapezium


Download: A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. the non-parallel sides are 14 m and 13 m. find the area of the field.
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A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non

In the figure ABCD is the field. Draw CF || DA and CG ⊥ AB. DC = AF = 10 m, AD = FC = 13 m For ∆BCF, a = 15 m, b = 14 m, c = 13 m ∴ s = a + b + c / 2 = 15 +14 +13 / 2 m = 21 m Also, area of ∆BCF = 1/ 2 × base × height = 1/ 2 × BF × CG ⇒ 84 = 1/ 2 × 15 × CG ⇒ CG = 84 x 2/ 15m = 11.2 m ∴ Area of the trapezium = 1/ 2 × sum of the parallel sides × distance between them. = 1/ 2 × (25 + 10) × 11.2 m 2 = 196 m 2 Hence, area of the field = 196 m 2 Ans. Categories • • (31.9k) • (8.8k) • (764k) • (248k) • (10.0k) • (5.6k) • (36.3k) • (7.5k) • (10.7k) • (11.8k) • (11.2k) • (6.8k) • (4.9k) • (5.3k) • (2.8k) • (19.9k) • (936) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • (25.7k) • (530) • (84) • (765) • (49.1k) • (63.8k) • (1.8k) • (59.3k) • (24.5k)

A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non

- Hint: In this question, we first need to draw the diagram with the given conditions. Then by using the formula for area of trapezium on substituting the respective values we can get the result. Complete step-by-step solution - TRAPEZIUM: If one pair of opposite sides of a quadrilateral are parallel, then it is called a trapezium. Area of a trapezium when the length of the parallel sides and non-parallel sides are given is \[\dfrac\] Let us now draw the diagram of the trapezium. Given, in the question that \[\begin\] Hence, the area of the given trapezium is 196 square metres. Note: Instead of using the formula for area of trapezium when parallel and non-parallel sides are given we can use the normal formula that includes parallel sides and the height in which we need to find the height by using the non-parallel sides. Both the methods give the same result. While calculating the area respective terms or side length should be substituted because neglecting any of the terms causes the square root to be unsolvable and then we cannot get the result. It is important to note that b should be greater than a because if not then the value of k will be negative which gives area as negative.

A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m . The non

Let ABCD be a trapezium with, A B ∥ C D A B = 2 5 m C D = 1 0 m B C = 1 4 m A D = 1 3 m Draw C E ∥ D A. So, ADCE is a parallelogram with, C D = A E = 1 0 m C E = A D = 1 3 m B E = A B − A E = 2 5 − 1 0 = 1 5 m In Δ B C E, the semi perimeter will be, s = 2 a + b + c ​ s = 2 1 4 + 1 3 + 1 5 ​ s = 2 1 m Area of Δ B C E, A = s ( s − a ) ( s − b ) ( s − c ) ​ = 2 1 ( 2 1 − 1 4 ) ( 2 1 − 1 3 ) ( 2 1 − 1 5 ) ​ = 2 1 ( 7 ) ( 8 ) ( 6 ) ​ = 7 0 5 6 ​ = 8 4 m 2 Also, area of Δ B C E is, A = 2 1 ​ × b a s e × h e i g h t 8 4 = 2 1 ​ × 1 5 × C L 1 5 8 4 × 2 ​ = C L C L = 5 5 6 ​ m Now, the area of trapezium is, A = 2 1 ​ ( s u m o f p a r a l l e l s i d e s ) ( h e i g h t ) A = 2 1 ​ × ( 2 5 + 1 0 ) ( 5 5 6 ​ ) A = 1 9 6 m 2 Therefore, the area of the trapezium is 1 9 6 m 2.

[Solved] A field in the shape of a trapezium, whose parallel sides me

Given: First parallel side of trapezium (a) = 250 m Second parallel side of trapezium (b) = 110 m First non - parallel side of trapezium (c) = 150 m Second non - parallel side of trapezium (d) = 130 m Formula used: Area of trapezium = × 8400 ⇒ 360× 60 ⇒ 21600 m 2 or 2.16 hectare 2 ∴ The area of trapezium is 2.16 hectare 2

Trapezium

More • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Trapezium A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other. The trapezium is a two-dimensional shape that appears as a table when drawn on a sheet of paper. In Euclidean Geometry , a quadrilateral is defined as a polygon with four sides and four vertices. Hence, a trapezium also has four sides, four angles and four vertices. There are many examples of trapezium that can be seen in real life. A major application of trapezium is the trapezium rule, where the area under the curve is divided into a number of trapeziums and then the area of each trapezium is evaluated. Let us learn all the properties of trapezium along with area and perimeter formula, its types and examples. Table of contents: • • • • • • • • • • • • •...

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