Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. Area of triangle ABC = 4 (Area of triangle PQR) Let us look into the next example on "Word Problems to Find Area of Quadrilaterals with Vertices". (BS) Developed by Therithal info, Chennai. To find the area of the quadrilateral with the given four vertices, we may use the formula given below. = (1/2)[(16 + 80 + 36 + 80) - (-64 - 24 - 100 - 24)], = (1/2)[(6 + 42 + 12 + 30) - (-30 - 6 - 42 - 12)]. Find the area of the patio. (–a, –a), where a ≠ 0 is 64 square units, then identify Tags : Coordinate Geometry Coordinate Geometry, Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail. Thinking Corner: If the area of a quadrilateral formed by the Let us look into the next example on "Word Problems to Find Area of Quadrilaterals with Vertices". If one bucket of paint covers 6 square feets, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied.Solution the type of the quadrilateral Find all possible values of a. Area of triangle PQR = 6. A triangular shaped glass with vertices at A(-5,-4) , B(1,6) and C(7,-4) has to be painted. Find the area of the patio. To find the area of patio, we have to subtract area of EFGH from area of ABCD. If ABCD is a quadrilateral, then considering the diagonal AC, we can split the quadrilateral ABCD into two triangles ABC and ACD. How many triangles AREA OF QUADRILATERAL WHEN FOUR VERTICES ARE GIVEN. always take the area of quadrilateral as positive. always take the area of quadrilateral as positive. triangular regions, which have no common area and then add the area of these To find the area of a quadrilateral, we divide it into If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. The area of the quadrilateral is never negative. In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. If the area of a quadrilateral formed by the Click hereto get an answer to your question ️ Find the area of the quadrilateral ABCD whose vertices are A(1, 1) , B(7, 3) , C(12, 2) and D(7, 21) Let us consider the quadrilateral ABCD shown below. What is the area in square units, of a quadrilateral whose vertices are $$(5,3), (6,-4), (-3,-2), (-4,7)?$$ I have tried creating the triangles, but didn't know how to find the diagonal. We use this information to find area of a quadrilateral when its vertices are given. = (1/2)[(-30 - 4 - 28) - (-4 + 42 + 20)], Area covered by one bucket of paint = 6 square feets, In the figure, find the area of (i) triangle AGF (ii) triangle FED (iii) quadrilateral BCEG, = (1/2) [(-2.5 - 13.5 - 6) - (-13.5 - 1 - 15)], (iii) B (-4, -2) C (2, -1) E (1.5, 1) G (-4.5, 0.5), = (1/2)[(4 + 2 + 0.75 + 9) - (-4 - 1.5 - 4.5 - 2)]. Find the value of k, if the area of a quadrilateral is 28 sq.units, whose vertices are (–4, –2), (–3, k), (3, –2) and (2, 3) Solution : Area of quadrilateral = 28 square units points (, Solved Example Problems: Area of a Triangle and Quadrilateral, Exercise 5.1: Area of a Triangle and Quadrilateral. regions. Solution (10) A triangul ar shaped glass with vertices at A(-5,-4) , B(1,6) and C(7,-4) has to be painted. That is, we Copyright © 2018-2021 BrainKart.com; All Rights Reserved. That is, we In the above quadrilateral, A (x1, y1), B (x2, y2), C (x3, y3) and D (x4, y4) are the vertices. Question 2 : In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. I wanted to try the shoelace method but I thought it only worked for triangles. If one bucket of paint covers 6 square feets, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied. 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