find the area of the Rhombus whose perimeter is 80 metre and one of whose diagonal is 24 metre
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Perimeter of Rhombus = 80 m
Each side of rhombus measures 80/4 = 20 m
All the sides of rhombus are equal.
One diagonal of Rhombus measures 24 m
By using Pythagoras Theorem, we get
AB^2 + BC^2 = AC^2
or, 12^2 + BC^2 = 20^2
or, BC^2 = 400 - 144
or, BC = √256 = 16
The length of the other Diagonal is 2(16) = 32 m
Area of Rhombus = 1/2 × d1 × d2
Area of Rhombus = 1/2 × 24 × 32
Area of Rhombus = 12 × 32
Area of Rhombus = 384 sq.m
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