The figure below shows AB = 3 units and BD = 4 units.

If the area of triangle ADE is 60 square units, what is the area of the trapezoid BCED?

A. 11.02 square units
B. 24.56 square units
C. 48.98 square units
D. 53.84 square units

Question

The figure below shows AB = 3 units and BD = 4 units. 

If the area of triangle ADE is 60 square units, what is the area of the trapezoid BCED?

A. 11.02 square units
B. 24.56 square units
C. 48.98 square units
D. 53.84 square units

anonymous · Answer

attachment

amistre64 · Answer

it would be nice to recall how the area of similar triangles are ratioed

amistre64 · Answer

A = bh/2  

A = sbsh/2 = s^2 bh/2

looks like its affected by the square of the scalar

amistre64 · Answer

so, 7s = 3 when s=3/7 is our scalar

so the smaller triangle on top would be (3/7)^2 as much as the bottom if ive kept my thoughts right

amistre64 · Answer

big area - small area = whats left of the trap i believe

anonymous · Answer

Ok, thank you for your help. C:

amistre64 · Answer

youre welcome.  I checked to make sure my idea was an answer, and its there; so it cant be too far off