E and F are points on opposite sides AD and BC, respectively, such that ED 1 3 AD and BF 1 3 BC. Compute the area of quadrilateral (trapezium) ABCD?Ĭompute the area of the quadrilateral ABCD in the figure. In the given figure, ABCD is a parallelogram. It is given that the area of the parallelogram ABCD 100 cm 2. In the figure ABCD, AB parallel to CD and the distance between them is 8 cm. From the figure we have ABCD is a parallelogram with base AB 20 cm and corresponding altitude DL. Draw an arc of radius 4 cm with centre B as centre and radius 4 cm and draw another arc with D as centre and radius 6 cm. In the circle (as shown in the picture) mark a point D and join AD. Draw a circle with centre A and radius 4 cm \(\frac\)ĭraw a parallelogram of sides 6 cm, 4 cm and area 18 cm 2.ĭraw a line AB of length 6 cm. The diagonals of the rhombus intersect at O and they bisect each other at right angles. Ii.The area of the small rhombus is 3 square centimetres. Prove that this quadrilateral is a rhombus. Through the Mid-point M of the Side Cd of a Parallelogram Abcd, the Line Bm is Drawn Intersecting Diagonal Ac in L and Ad Produced in E. BE bisects CD at M and intersects AC at L.Prove that EL2 BL. In the figure, the midpoints of the diagonals of a rhombus are joined to form a small quadrilateral: Step by step video solution for In the given figure, ABCD is a parallelogram. Question In the given figure, ABCD is a parallelogram. What is the area of the ground bounded by the rope? Byjus Answer Standard VIII Mathematics Diagonals of a Rhombus Bisect Each-Other at Right Angles In the given. If AB 16 cm, AC 12 cm and BC 18 cm, find the perimeter of the parallelogram BDEF. What is the distance between the other two corners? Through E, a straight line is drawn parallel to AB to meet BC at F. The distance between a pair of opposite corners is 16 metres. What is the area of the parallelogram?Īrea of parallelogram = one side × distance to the opposite sideĪ 68 centimetre long rope is used to make a rhombus on the ground. Do not calculate the exact value of the area if not asked in question, directly put the known values and perform the mathematical operation.The area of the dark triangle in the figure is 5 square centimetres. Always draw a figure of these types of questions first if the figure is not given. Note: In these types of questions, obtain an area of the same quadrilateral using different bases and their respective perpendiculars (or heights). Here, AB = 18 cm and Area of ABCD = 120 cm2 Since, in quadrilateral ABCD, Base is AB and Height is DL. Since, in quadrilateral ABCD, Base is BC and Height is DM.Īlso, Area of parallelogram, ABCD = $AB \times DL$ Given, AB = 18 cm and BC = 12 cm and DM = 10 cm.Īrea of parallelogram, ABCD = $BC \times DM$ Diagonals of a parallelogram are the segments which connect the opposite corners. The opposite sides being parallel and equal, forms equal angles on the opposite sides. OB OD and OE OF Diagonals of a quadrilateral DEFB bisect each other. Thus, in quadrilatreal DEFB, bisect each other. Now, OA OC and AE FC OA - AE OC - FC OE OF. And Value of DL could be easily obtained by doing simple calculations. A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Since diagonals of a parallelogram bisect each other. Then calculate the area of quadrilateral ABCD, using base AB and height DL and equate the two areas, as both areas are of quadrilateral ABCD. In the figure (ii) given below, ABCD is a parallelogram. Hint: Here, first calculate the area of quadrilateral ABCD, using base BC and height DM.
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