Question : The area and the length of one of the diagonals of a rhombus are 84 cm2 and 7 cm respectively. Find the length of its other diagonal (in cm).
Option 1: 12
Option 2: 24
Option 3: 48
Option 4: 36
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Correct Answer: 24
Solution : Given: Area = $84\ cm^2$ 1st diagonal = 7 cm 2nd diagonal = $D_2$ We know that Area of rhombus = $\frac{1}{2}\times$(Product of the diagonals) ⇒ $84 = \frac{1}{2}\times7\times D_2$ ⇒ $D_2 = 24\ cm$ Hence, the correct answer is 24.
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Question : The area of the rhombus is 216 cm2 and the length of its one diagonal is 24 cm. The perimeter (in cm) of the Rhombus is:
Option 1: 52
Option 2: 60
Option 3: 120
Option 4: 100
Question : What is the area of a rhombus whose diagonals are 8 cm and 13 cm?
Option 1: 52 cm2
Option 2: 96 cm2
Option 3: 44 cm2
Option 4: 84 cm2
Question : The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is $40\sqrt2$ cm. If the length of the diagonals of the rhombus is in the ratio $3:4$, then its area ( in cm2) is:
Option 1: 1550
Option 2: 1600
Option 3: 1535
Option 4: 1536
Question : If the altitude of a triangle is 8 cm and its corresponding base is 12 cm, then the area of the triangle will be:
Option 1: 96 cm2
Option 2: 48 cm2
Option 3: 84 cm2
Option 4: 24 cm2
Question : The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm. Find its area.
Option 1: 90 cm2
Option 2: 80 cm2
Option 4: 96 cm2
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