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Q.

Find the area of rhombus whose diagonals are of length 8cm and 6cm-- 


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a

20

b

42

c

14

d

24{"mathml":"<math class="image_resized" style="width:25px;height:13px"><span style="font-family: 

answer is D.

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Detailed Solution

Concept- We are aware that if the diagonals are d1 and d2 in length, the formula for the area of a rhombus is ={"mathml":"<math class="image_resized" style="width:48px;height:37px"><span style="font-family:. We are able to calculate the rhombus' area since we are aware of its diagonals.
The quantity of space a rhombus encloses in a two-dimensional space is known as the area of a rhombus. Remember that a rhombus is a particular kind of quadrilateral that is projected onto a two-dimensional (2D) plane and has four sides that are congruent and equal in length. Because all four of its sides are equal in nature, it is often referred to as an equilateral quadrilateral.
https://lh4.googleusercontent.com/9iJDEax2EQwDUp0CLy5yylpnjVKQHLyVW5MaThvsOr1LxByyilww7BNsKScso8CSFWT54bmZeZlL5SDyLYd9Iw4dh9v4XK78g5pqrQZr2plev9FA6N1H4VvLNwTrwGeas8cNbZS736Ohrd1ez-B1h8UWe know that the area of rhombus is given by {"mathml":"<math class="image_resized" style="width:48px;height:37px"><span style="font-family: if diagonals are of length d1 and d2
 {"mathml":"<math class="image_resized" style="width:85px;height:37px"><img src="data:image/jpeg;base64,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" width="142" height="37" alt==24{"mathml":"<math class="image_resized" style="width:25px;height:13px"><span style="font-family:Hence, the correct option is 4) 24{"mathml":"<math class="image_resized" style="width:25px;height:13px"><span style="font-family: 
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