x is any point on side MP of the parallelogram MNOP. if area (xon)=12 cm find [area (PXO)+area (MXN)]:area (MNOP)
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XON is a triangle that is on the same base as the ||gm MNOP and it is between the same parallels. [ MP||NO, ||gm MNOP]
Hence ar(XON) = 1/2 ar(MNOP)
MNOP= 2*12= 24 square cm
Ar(XON) = 12 square cm
XON + (PXO+MXN)= MNOP
So, PXO+MXN= 1/2 MNOP
=> PXO+MXN= 12
Then the ratio of [ar(PXO) +ar(MXN)] : area(MNOP) is 1:2.
You may not find values at all and since PXO+MXN = 1/2 MNOP the ratio will be 1:2.
Hope this helps!!
Hence ar(XON) = 1/2 ar(MNOP)
MNOP= 2*12= 24 square cm
Ar(XON) = 12 square cm
XON + (PXO+MXN)= MNOP
So, PXO+MXN= 1/2 MNOP
=> PXO+MXN= 12
Then the ratio of [ar(PXO) +ar(MXN)] : area(MNOP) is 1:2.
You may not find values at all and since PXO+MXN = 1/2 MNOP the ratio will be 1:2.
Hope this helps!!
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