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Answer:
Given :-
side = 20cm , diagonal = 32cm.
To find:-
Area of rhombus.
Formula used :-
area of rhombus =1/2×d1×d2
Explaination :-
length of side =20cm.
length of diagonal =32cm.
In triangle AOB.
using Pythagoras theorem:AB^2=OA^2+OB^2
(20)^2-(16)^2=OB^2
400-256=OB^2
144=OB^2
root144=OB
12=OB.
hence length of another diagonal=12×2=24cm.
AREA of rhombus=1/2×d1×d2.
=1/2×32×24=384
therefore 384cm^2 is your answer.
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