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Mathematics 8 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (nubeer):

\[\frac{ A _{1} }{ A _{2} } = \left( \frac{ l _{1} }{ l _{2} } \right)^{2}\] you have area A1 and L1 and L2 length given..

OpenStudy (anonymous):

60/x=7/4 X=15

OpenStudy (nubeer):

u also have to square 7/4 too

OpenStudy (anonymous):

im confused

OpenStudy (nubeer):

umm well u have to plug in the values in the formula i wrote.. in frmula L1 and L2 are in braket which is squared.

OpenStudy (anonymous):

19.59 ?

OpenStudy (nubeer):

yeah.

OpenStudy (anonymous):

but thats not one of the answer .. that why im confused A) 11.02 B)48.98 C)24.98 D)53.84

OpenStudy (nubeer):

O.o how can i miss.

OpenStudy (nubeer):

this formula is for similar figure if u put 4 in denominator its finding for trapeziod which is not similar to a triangle right?

OpenStudy (anonymous):

right

OpenStudy (nubeer):

ok so u cant pick 4 as 4 is side of trapeziod not the smaller triangle so u would have to pick 3 instead of 4... that will give u the area for smaller triangle.

OpenStudy (anonymous):

so it would be 60/x=7/3 x=135 or x=25.71

OpenStudy (anonymous):

135 is when 7/3 is squared

OpenStudy (nubeer):

noo.. (7/3)^2 .. u forgot to square it

OpenStudy (anonymous):

x=11.02?

OpenStudy (nubeer):

yeah right ... well this is the area f small triangle.. you have the area for larger one too.. so larger - smaller gives u the area for trapezoid.

OpenStudy (anonymous):

so 60-11.02=48.98 so 48.98 is the answer right !?

OpenStudy (nubeer):

yeah i think it's right.

OpenStudy (anonymous):

okay thank you ! :D

OpenStudy (nubeer):

you're most welcome. :)

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