# maths

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the diagonals of a rhombus are 24 meter and 18 meter find the area,length of a side and perimeter?

• maths -

recall these properties:
-all sides of rhombus are equal.
-the diagonals of rhombus are perpendicular (forms four 90 degree angles)
-area of rhombus, if diagonals are given, can be calculated by
A = d1 * d2 /2
where d1 & d2 are the diagonal lengths
-side of a rhombus, if diagonals are given, can be calculated by
s = sqrt(d1^2 + d2^2)
*note that this is just pythagorean theorem

applying these,
A = 24*18/2
A = 216 m^2

s = sqrt(24^2 + 18^2)
s = sqrt(900)
s = 30 m

P = 4*s
P = 4*30
P = 120 m

hope this helps~ :)

• maths -

A=D1*D2 LIKE D=24 AND 18. SO 24*18=432. THEREFORE AREA=432 . AND SIDE= SQRT D1*2+D2*2 . SO GIVEN D1 AND D2 =24 AND 18 =SQRT 24^2 +18^2= 576+324 =900 THEREFORE SIDE= sqrt900=30.

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