Latest IBM Aptitude Question SOLUTION: In a triangle ABC,point D is on side AB and point E is on side AC,such that BCED is a trapezium.DE:BC =3:5.Calculate the ratio of the area of triangle ADE and the trapezium BCED.

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(#M40157037) IBM Numerical Ability question Geometry Keep an EYE

In a triangle ABC,point D is on side AB and point E is on side AC,such that BCED is a trapezium.DE:BC =3:5.Calculate the ratio of the area of triangle ADE and the trapezium BCED.

Asked In IBM Shubham sharma (7 years ago)

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geetanjali  (7 years ago)

area of tri(ADE)/area of tri(ABC) = DE^2 / BC^2 since tri(ADE) -tri(ABC)
area of tri(ADE)/area of tri(ABC) = 9/25
area of tri(ABC)/area of tri(ADE) = 25/9
area of tri(ABC) = area of tri(ADE) + area of trap(BCDE)
(area of tri(ADE) + area of trap(BCDE))/area of tri(ADE) = 25/9
1 + area of trap(BCDE)/area of tri(ADE) = 25/9
take1on both sides
area of trap(BCDE)/area of tri(ADE) = (25/9) - 1 = 16/9

since question is asking for area of tri(ADE)/area of trap(BCDE) = 9/16

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