Area of Rhombus
Area of Rhombus
Rhombus: quadrilateral all of whose sides have the same length.
Area of A Rhombus: A rhombus is actually just a special type of parallelogram. The "base times height" method: First pick one side to be the base. Any one will do, they are all the same length. Then determine the altitude - the perpendicular distance from the chosen base to the opposite side. The area is the product of these two, or, as a formula: Area = base x height:.
The "diagonals" method: Another simple formula for the area of a rhombus when you know the lengths of the diagonals. The area is half the product of the diagonals. As a formula: Area = where, d1 is the length of a diagonal and d2 is the length of the other diagonal
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Example: Find the area of a rhombus having each side equal to 13 cm and one of whose deiagonals is 24 cm. Solution : Let ABCD be the given parallelogram whose diagonals intersect at O. We have, AB = 13 cm and AC = 24 cm. Since the diagonals of a rhombus bisect each other at right angles. Therefore, Using Pythagoras theorem, in Hence, OB = 5 cm Also, BD = 2 x OB = 10cm Hence , Area of rhombus ABCD = |
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If the perimeter of a rhombus is 4a and the lengths of its diagonals are x and y, then its area is ___________________. | |||
| Right Option : D | |||
| View Explanation | |||
The area of rhombus of diagonal 8 cm & 4 cm is ____________ c | |||
| Right Option : B | |||
| View Explanation | |||
The diagonals of a rhombus are 8 cm and 10 cm. Then the area of the rhombus is ______________________. | |||
| Right Option : D | |||
| View Explanation | |||
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
