ABCD is a quadrilateral . F is a point on AD such that AF=2.1cm and FD=4.9cm. E and G are points on AC and AB respectively such that EF//CD and GE//BC. Find

a) Area of triangleAGE/Area of trapezium GBCE

b) Area of triangleBCD/Area of triangleGEF

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- Feb 1st 2010, 08:38 AM #1

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## plz help me with this..

ABCD is a quadrilateral . F is a point on AD such that AF=2.1cm and FD=4.9cm. E and G are points on AC and AB respectively such that EF//CD and GE//BC. Find

a) Area of triangleAGE/Area of trapezium GBCE

b) Area of triangleBCD/Area of triangleGEF

- Feb 1st 2010, 05:51 PM #2

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You may view this as a 3-dimensional figure also,

a 3-sided pyramid similar to a tetrahedron with base BCD.

All sides are divided in the same ratio...

AF:FD=AG:GD=AE:EC=GE:BC=EF:CD=GF:BD=[2.]:[4.9]

AF:AD=AE:AC=AG:AB=[2.1]:7

Area of AGE to Area of ABC is $\displaystyle (2.1)^2:7^2$

Area of AGE to GBCE is $\displaystyle (2.1)^27^2-[2.1]^2)$

Area BCD to GEF is $\displaystyle 7^2:[2.1]^2$