One of the diagonals of a rhombus is 12cm sides area is 54 sq cm Find the perimeter of - Maths - Heron\s Formula

Question

One of the diagonals of a rhombus is 12cm sides area is 54 sq cm
Find the perimeter of the rhombus

Lovina Kansal · Accepted Answer

Given: Area of rhombus=54cm2Diagonal of rhombus,d1=12cmWe know,Area of rhombus=d1×d22    where d2=other diagonal of rhombus⇒54=12×d22⇒d2=546⇒d2=9cmSide of rhombus,s=d122+d222⇒s=1222+922⇒s=62+4
52⇒s=36+20 25⇒s=56 25⇒s=7
5cmSo, Perimeter of rhombus,P=4s⇒P=4×7
5⇒P=30cm

One of the diagonals of a rhombus is 12cm sides area is 54 sq cm. Find the perimeter of the rhombus.