Question

A man who had a plot in the shape of a paralellogram divided it into three equal parts and gave one third part to his son which again was in the shape of a paralellogram.The son seeing that there was no school in the village decides to open a school there.
Show how could the decision of the man be implemented?What part did the son get ?Explain with figure.
Was the sons decision right?

Answer 1

Area of ΔPSA + Area of ΔPAQ + Area of ΔQRA = Area of parallelogram PQRS ... (1)

Answer 2

We know that if a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram.

∴ Area (ΔPAQ) = Area (PQRS) ... (2)

From equations (1) and (2), we obtain

Area (ΔPSA) + Area (ΔQRA) = (1/2) Area (PQRS) ... (3)

Answer 3

can any body tell me plsse
till here my solution is correct or not

Answer 4

i am thinking of the diagram to be the same as the one "stamp" has drawn!!

Answer 5

it means my diagram is wrong

Answer 6

and vat abt my solution

Answer 7

i am thinking so because you said the part given to his son was in the shape of a parallelogram...

Answer 8

@qweqwe123123123123111
plse the solution

Answer 9

This cannot be true:

Area (ΔPAQ) = Area (PQRS)

You're asserting here that a section of the whole is equal to the whole.

Answer 10

k

Answer 11

Here's a way of splitting it into 3rds using 2 triangles and a parallelogram

Answer 12

my solution and diagram are wrong
well
i think @stamp diagram is absolutely correct.
and i m damm sure @stamp diagram is corretc
so i m finding the solution for that

Answer 13

I agree, stamp looks like he's got the idea. Either way, we end up with a parallelogram section to give to the kid.

But the other 2 questions you asked are still unanswerable from the data you gave, which is which piece did he get (although my method only has one piece to give), or whether the kid was "right" in building a school on the property.

Although spiritually speaking, it's ALWAYS right to construct a school where none once existed. :-)

Answer 14

wohi to
i can't understand
how to solve it

Answer 15

You don't understand what, how to slice a parallelogram into 3 equal pieces producing at least one other parallelogram shaped section?

Answer 16

i m confused

Answer 17

Yes, not trying to be insulting, but you do seem to be.

Answer 18

?

Answer 19

@kropot72
plse help me