Find the coordinates of the vertices A, B and C. Hence find the area of triangle ABC and compare this with area of triangle PQR, To find the vertices of the triangle from the midpoint of the sides, please visit the page "https://www.onlinemath4all.com/how-to-find-the-vertices-of-a-triangle-if-the-midpoints-are-given.html", = (1/2)[(49 + 15 + 84) - (105 + 84 + 7)], = (1/2)[(44 + 54 + 66.5) - (94.5 + 38 + 44)], Area of triangle ABC = 4 (Area of triangle PQR). = (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)]. 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. points (a, a), (–a, a), (a, –a) and I wanted to try the shoelace method but I thought it only worked for triangles. Find the area of the patio. 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. Let P(11,7) , Q(13.5, 4) and R(9.5, 4) be the mid- points of the sides AB, BC and AC respectively of triangle ABC . triangular regions, which have no common area and then add the area of these If the area of a quadrilateral formed by the (–a, –a), where a ≠ 0 is 64 square units, then identify = (1/2)[(16 + 80 + 36 + 80) - (-64 - 24 - 100 - 24)], = (1/2)[(6 + 42 + 12 + 30) - (-30 - 6 - 42 - 12)]. In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. 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. 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 Now, Area of quadrilateral ABCD = Area of the ΔABD + Area of the ΔBCD (Fig5.9) Thinking Corner : How many triangles exist, whose area is zero? In the above quadrilateral, A (x1, y1), B (x2, y2), C (x3, y3) and D (x4, y4) are the 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 Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. Let us consider the quadrilateral ABCD shown below. To find the area of a quadrilateral, we divide it into 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". always take the area of quadrilateral as positive. How many triangles Solution (10) A triangul ar shaped glass with vertices at A(-5,-4) , B(1,6) and C(7,-4) has to be painted. Thinking Corner: If the area of a quadrilateral formed by the (BS) Developed by Therithal info, Chennai. 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