Math, asked by shubham340, 1 year ago

ABCD is a trapezium of area 91cm sq CD is parallel to AB CD is longer than AB by 8cm.If the distance between AB and CD is 7cm,find AB and CD

Answers

Answered by Hashlord
38
Here you go! Hope this is the right one.
Area of a trapezoid/trapezium is the height multiplied by the sum of parallel sides and this whole equation divided by 2.
Attachments:

shubham340: 91cm sq =3.5(2x+8) ke baad 7x==91-28 me 7x kaise aaya
Hashlord: Sorry....i should've done it step by step. It goes like this.... 3.5×2 is 7 and 3.5×8 is 28. Now we move the unknown value to one side which results in 7x=91-28. The sign changes as it moves on the other side.
Hashlord: imagine it as 91=7x+28....91-28=7x
Hashlord: i hope i have cleared your dou t
shubham340: thanks
rohanbelwal: not in proper way
rohanbelwal: sry bro i didn't like bro
Answered by wwwmaoj
21

Let Ab be x

Let CD be x+8

According to question.


Area = 1/2 ×(sum of // sides)×h

91=1/2×(2x + 8)×7

91×2÷7=2x +8

182÷7=2x+8

26=2x+8

26-8=2x

18=2x

18÷2=x

9=x


AB = 9 cm

CD= x+8

=9+8

= 17cm


Step-by-step explanation:


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