a triangle and a rectangle are drawn on a page so that they overlap as shown. inside these figures are placed the digits from 0 to 9. if there are six digits in the triangle and eight digits in the rectangle, how many digits are in the part that belongs to both figures

- anonymous

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- anonymous

i dnt ge the working out

- anonymous

get*

- hartnn

six digits in the triangle-->Let T =6
eight digits in the rectangle---->Let R=8
Total = 10 digits. = T union R (in other words, T OR R)
get this much ?

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## More answers

- anonymous

how do u get 10 digits?

- hartnn

0 to 9 means total 10 digits
i assumed that the digits are not repeated, which is a fair assumption here...

- anonymous

ohk...no they not repeated

- hartnn

digits are in the part that belongs to "both" figures = T AND R
(T intersection R) = ...... there is a formula for this, you know ?
in terms of T,R and T UNION R

- anonymous

but..how do u do year 7 working out..im suposed to draw the diagram and stuff..

- hartnn

'year 7 working out.' ?? i didn't get you..

- hartnn

|dw:1352896076101:dw|

- anonymous

im in year 7

- anonymous

|dw:1352896192555:dw|

- anonymous

that's what the question look like

- hartnn

|dw:1352896267033:dw|
i am not sure i can give you exact working required by your course/teacher, but i can make u understand how to get the answer....

- anonymous

ok..

- hartnn

now look at that figure, if u want total area of composite figure, will it be appropiate to add the area of triangle and rectangle ?

- anonymous

um...no?

- hartnn

why ?

- anonymous

i don't know

- anonymous

by the area of composite figure do u mean the overlapped shape?

- hartnn

yes,.
because then you will consider the "intersection part" twice.
once in rectangle and once in triangle,
got this ?

- anonymous

um..kinda

- hartnn

so to get area of composite figure, u need to subtract are of intersection, right ?

- anonymous

..uh..yea..

- hartnn

so , we get
TOTAL = RECT +TRIANGLE - INTERSECTION.
in this case,
total = 10 , Rect = 8, triangle =6
u just need intersection

- anonymous

uhuh

- hartnn

not clear ?

- anonymous

clear

- hartnn

so, 10 = 8+6-x
where x is digits that belongs to both figures

- hartnn

x= ?

- anonymous

hmm equations..lets see

- anonymous

4?

- hartnn

yes, so there are 4 numbers that belong to both..

- anonymous

ohk..

- hartnn

will u be able to solve similar problems ?

- anonymous

i think so yes

- anonymous

thnx for ur help hartnn

- anonymous

now i need to get back to my other hw

- hartnn

welcome ^_^
and good luck....

- anonymous

thnx for help!!!

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