4. The perimeter of a rhombus is 40 cm and the distance between a pair of parallel sides is 5.6 cm. If the length of one of its diagonals is 7 cm, find the length of the other diagonal
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answer = 16cm
Explanation
perimeter= 40 cm
one side = 40/4= 10 cm
area of parallelogram = height * base
( as rhombus is a special type of parallelogram)
so area= 10*5.6
= 56 cm sq
let other diagonal is x
so, now by formula of rhombus area
56= (7* x )/2
x= (56*2)/ 7
x= 16 cm
so other diagonal is 16 cm
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