Question

The perimeter of a rhombus is 146cm. one of its diagonals is55cm. Find the area of rhombus.

Answer 1

The perimeter of a rhombus is 146 and one of its diagonals is 55 CM find the length of the Other diagonal and area of the Rhombus
Ask for details Follow Report by Dadsdoll9975 11.12.2017
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rohanvaidya
rohanvaidya Ambitious
Firstly.. side of rhombus..
4×side=146
Side= 36.5cm

Now..
By applying Pythagoras theorem in one of the triangle formed by joining two diagonals..

36.5 square = 27.5 square + half diagonal . square
1332.25 - 756.25 = half diagonal's square
24 = half diagonal

So.. Second diagonal = 24×2
48m
Now..
Area of rhombus = 1/2 × d1 × d2
= 1/2 × 55 × 48
= 1320 cm square..

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