(13) The perimeter of rhombus is 100 cm and
one of its diagonals measures 48 cm.
Then, the length of the other diagonal
is ......... cm.
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Answer:
We know that the all sides of a rhombus is equal .
And given the perimeter of rhombus is 100 cm
Then side of rhombus =
4
100
=25 cm and given one diagonal=40 cm
We know that the diagonal of rhombus bisect at triangle and intersect equal parts
Let other diagonal is 2x
(x)
2
+(20)
2
=(25)
2
⇒x
2
=625−400=225
So x=15 and other diagonal =2×15=30 cm
Then area of rhombus =
2
digonal×digonal
=
2
40×30
=600cm
2
Step-by-step explanation:
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336cm²
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