If Length of a Diagonal of a Rhombus is 30 Cm and Its Area is 240 Sq Cm, Find Its Perimeter. - SSC (English Medium) Class 8 - Mathematics
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If length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm, find its perimeter.
Let the other diagonal be d cm
Area of a rhombus = `1/2` (product of diagnols)
⇒ 240 = `1/2 xx` (30 x d)
⇒ d = `(240 xx 2)/30` = 16
AC = 30 cm
DB = 16 cm
Diagonals of a rhombus bisect at right angles.
In Δ AOB,
AO² + OB² = AB²
⇒ 15² + 8² = AB²
⇒ AB² = 225 + 64 = 289
⇒ AB = √289 = 17 cm
Thus, the side of the rhombus = 17 cm
Perimeter = `4 xx 17` = 68 cm
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Solution If Length of a Diagonal of a Rhombus is 30 Cm and Its Area is 240 Sq Cm, Find Its Perimeter. Concept: Area of a Rhombus.