abcd us a trapezium of area 91cm².cd us parallel to ab and CD is longer than ab by 8cm.If the distance between ab and CD is 7cm,find ab and cd
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Let AB =X cm
=>CD=(X+8)cm
Since,
Ar(ABCD)=1/2×(AB+CD)×distance b/w // sides
=>91cm=1/2×(X+X+8)×7
=)91= 1/2×2(X+4)×7
=) 91/7 = X+4
=) X = 13-4
=) X = 9cm.
Therefore, AB=9cm
CD=9+8= 17cm.
=>CD=(X+8)cm
Since,
Ar(ABCD)=1/2×(AB+CD)×distance b/w // sides
=>91cm=1/2×(X+X+8)×7
=)91= 1/2×2(X+4)×7
=) 91/7 = X+4
=) X = 13-4
=) X = 9cm.
Therefore, AB=9cm
CD=9+8= 17cm.
Jemima1214:
u got the right answer
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