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### Geometry4.4 Area of Quadrilateral - II

 Example: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 7 cm and 8 cm respectively. Find the area of the quadrilateral. Solution: Area of quadrilateral = 1/2 * d1d2. Given that, d1 = 7cm and d2 = 8cm. = 1/2 * 7 * 8 = 7 * 4 = 28 sq cm. Directions: Read the above example carefully and answer the following questions: Write at least 10 examples of your own. Draw 2 different quadrilaterals, one with all sides equal and one with opposite sides equal. Draw their diagonals and measure them. Check whether their diagonals intersect at right angles.
 Q 1: In a quadrilateral, the diagonals intersect at right angles and the length of one of the diagonals is 9 cm. Find the length of the other diagonal if the area of the quadrilateral is given by 36 sq cm.4 cm8 cm2 cm1 cm Q 2: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 6a units and 7b units respectively. Find the area of the quadrilateral.31ab sq units41ab sq units11ab sq units21ab sq units Q 3: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 12 cm and 11 cm respectively. Find the area of the quadrilateral.56 sq cm46 sq cm76 sq cm66 sq cm Q 4: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to 7.5 cm and 8.5 cm respectively. Find the area of the quadrilateral.32.78 sq cm32.15 sq cm31.23 sq cm31.88 sq cm Q 5: In a quadrilateral, the diagonals intersect at right angles and have lengths equal to (255/15) cm and (60/5) cm respectively. Find the area of the quadrilateral.80 sq cm45 sq cm96 sq cm90 sq cm Q 6: In a quadrilateral, the diagonals intersect at right angles and the length of one of the diagonals is 15 cm. Find the length of the other diagonal if the area of the quadrilateral is given by 105 sq cm.14 cm12 cm10 cm11 cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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