if the area of a rhombus is 96sq.cm and one of it diagonal is 16 cm .find its perimeter
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AR. RHOMBUS = 1/2*D¹*D²
{WHERE D² AND D¹ ARE DIAGONAL1 AND DIAGONAL2}
ACCORDING TO QUESTION...—
![\frac{1}{2} \times 16 \times d1 = 96 \frac{1}{2} \times 16 \times d1 = 96](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+%5Ctimes+16+%5Ctimes+d1+%3D+96)
![\frac{1}{2} \times d1 = 6 \frac{1}{2} \times d1 = 6](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+%5Ctimes+d1+%3D+6)
![d1 = 12 d1 = 12](https://tex.z-dn.net/?f=d1+%3D+12)
now Perimeter= 4*[√{(D¹/2)²+(D²/2)²}]
(by solving it you will get)—
=4*10
=40cm.
HOPE IT HELPS.
PLZ MARK BRAINLIST!!
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
AR. RHOMBUS = 1/2*D¹*D²
{WHERE D² AND D¹ ARE DIAGONAL1 AND DIAGONAL2}
ACCORDING TO QUESTION...—
now Perimeter= 4*[√{(D¹/2)²+(D²/2)²}]
(by solving it you will get)—
=4*10
=40cm.
HOPE IT HELPS.
PLZ MARK BRAINLIST!!
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