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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 Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3). Find the area of the quadrilateral whose vertices are at, (i) (â9, â2), (â8, â4), (2, 2) and (1, â3). Given : quadrilateral vertices are (1,1), (2,4), (8,4) and (10,1). To find the area of the quadrilateral with the given four vertices, we may use the formula given below. The area is then given by the formula Where x n is the x coordinate of vertex n, y n is the y coordinate of the nth vertex etc. 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) To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. Calculate the perimeter and area of the quadrilateral formed by the points (0,0) and (5,10) and (10,15) and (5,5) By applying the value of a in (2), we get. If you get the area of a quadrilateral as a negative value, take it as positive. If ABCD is a quadrilateral, then considering the diagonal AC, we can split the quadrilateral ABCD into two triangles ABC and ACD. Slope of line between (10,1). = (1/2) â {(x1y2 + x2y3 + x3y4 + x4y1), Find the area of the quadrilateral whose vertices are. Then move a vertex so that one side becomes aligned with the first diagonal. We use this information to find area of a quadrilateral when its vertices are given. If the points A(-3, 9) , B(a, b) and C(4, -5) are collinear and if a + b = 1 , then find a and b. The vertical bars mean you should make the reult positive even if … Let A(–4,–2), B(–3,–5), C (3,–2) and D(2,3) be the vertices of the quadrilateral ABC D. Area of a quadrilateral ABC D = Area of ABC + Area of AC D. By using a formula for the area of a triangle = 21. . Solving linear equations using elimination method, Solving linear equations using substitution method, Solving linear equations using cross multiplication method, Solving quadratic equations by quadratic formula, Solving quadratic equations by completing square, Nature of the roots of a quadratic equations, Sum and product of the roots of a quadratic equations, Complementary and supplementary worksheet, Complementary and supplementary word problems worksheet, Sum of the angles in a triangle is 180 degree worksheet, Special line segments in triangles worksheet, Proving trigonometric identities worksheet, Quadratic equations word problems worksheet, Distributive property of multiplication worksheet - I, Distributive property of multiplication worksheet - II, Writing and evaluating expressions worksheet, Nature of the roots of a quadratic equation worksheets, Determine if the relationship is proportional worksheet, Trigonometric ratios of some specific angles, Trigonometric ratios of some negative angles, Trigonometric ratios of 90 degree minus theta, Trigonometric ratios of 90 degree plus theta, Trigonometric ratios of 180 degree plus theta, Trigonometric ratios of 180 degree minus theta, Trigonometric ratios of 270 degree minus theta, Trigonometric ratios of 270 degree plus theta, Trigonometric ratios of angles greater than or equal to 360 degree, Trigonometric ratios of complementary angles, Trigonometric ratios of supplementary angles, Domain and range of trigonometric functions, Domain and range of inverse trigonometric functions, Sum of the angle in a triangle is 180 degree, Different forms equations of straight lines, Word problems on direct variation and inverse variation, Complementary and supplementary angles word problems, Word problems on sum of the angles of a triangle is 180 degree, Domain and range of rational functions with holes, Converting repeating decimals in to fractions, Decimal representation of rational numbers, L.C.M method to solve time and work problems, Translating the word problems in to algebraic expressions, Remainder when 2 power 256 is divided by 17, Remainder when 17 power 23 is divided by 16, Sum of all three digit numbers divisible by 6, Sum of all three digit numbers divisible by 7, Sum of all three digit numbers divisible by 8, Sum of all three digit numbers formed using 1, 3, 4, Sum of all three four digit numbers formed with non zero digits, Sum of all three four digit numbers formed using 0, 1, 2, 3, Sum of all three four digit numbers formed using 1, 2, 5, 6, Adding and Subtracting Real Numbers - Concept - Examples, Adding and Subtracting Real Numbers Worksheet, After having gone through the stuff given above, we hope that the students would have understood, how to find a. Given Quadrilateral is a trapezium . Thinking Corner : How many triangles exist, whose area is zero? Answer. The area is that of a triangle, half the cross-product of the diagonal vectors. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. Area(ABCD) =Area (ΔABC)+Area (ΔADC) =8 +11 = 19 sq. Because, the area of the quadrilateral is never negative. (-4, -2), B(-3, -5), C(3, -2) and (2, 3). That is, we always take the area of quadrilateral as positive. Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows. In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices. So, area of the given quadrilateral is 28 square units. 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.

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