The diagonals of a rhombus are in the ratio 2:3 if their sum is 15 cm find the area of rhombus .
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Step-by-step explanation:
let the diagonals of rhombus be 2× and 3×
this is given that the sum of the diagonal is 15cm
so,
2× + 3× = 15
5× = 15
× = 15
Hence,
the diagonal of rhombus =2×=6cm
=3×=9cm
Now,
the area of the rhombus = 1/2×(a×b)
=1/2×(6×9)
=27cm²
the area of the rhombus = 27cm²
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