# If the perimeter of a trapezium is 68 cm its non- parallel sides are equal to 12 cm each and its altitude is 4 cm find the area of the trapezium. fast ,fast

2
by yash9

2015-03-22T13:06:19+05:30

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Area of a trapezium- 1/2*h*(a+b)
perimeter- a+b+c+d
here,sum of non //sides=24
hence the sum of // sides=44cm
hence are= 1/2*4*44=88cm^2
2015-03-22T13:06:33+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
We know that area of a trapezium = 1/2 x (sum of parallel sides) x altitude
So in order to find the sum of parallel sides we subtract the length of non - parallel sides from the perimeter.
Thus, we have 68 - (12 x 2) [As two sides are equal to 12cm)
= 68 - 24
= 44cm

Therefore area = 1/2 x 44 x 4
= 22 x 4
= 88 cm²

Hope that helps !!
We know that area of a trapezium = 1/2 x (sum of parallel sides) x altitude
So in order to find the sum of parallel sides we subtract the length of non - parallel sides from the perimeter.
Thus, we have 68 - (12 x 2) [As two sides are equal to 12cm)
= 68 - 24
= 44cm

Therefore area = 1/2 x 44 x 4
= 22 x 4
= 88 cm²
yes :)