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Grade 108 grade maths

In the given figure, the area of the parallelogram ABCD is
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

Profile image of shaurya mohanty
5 Years agoGrade 10
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2 Answers

Profile image of Harshit Singh
5 Years ago
Dear student

By pythagoras theorem in right angled triangle AEC
h = 5 cm
Now , Area of parallelogram is given by multiplication of base and height

area = 10 x 5 = 50 cm2

Thanks
Profile image of Gladan Delwin Dsouza
5 Years ago
It’s pretty simple
First, we find the length of CE :
Since Triangle AEC is a Right-angled triangle we use Pythagoras theorem 
12²+ CE² = 13²
CE²=25 Therefore CE = 5cm
 
Now we find length BE:
AE-DC = BE (as they are opposite sides of the parallelogram)
12-10 = 2 Therefore BE = 2cm
 
Hence we use Pythagoras theorem again in triangle BEC 
to find Hypotunuse side BC:
5²+2² = BC²
BC² = 29
BC = 5.3851cm
 
Hence area of the given figure:(Height × Base)
AB × BC 
10cm × 5.385cm = 53.851cm²