How Would I Work Out The Area Of This Trapezium?

[CharmingBasil8]

I am stuck on this question, if anyone could help that would mean a lot! Here it is https://assets.hegartymaths.com/areatrap3.png

[johnny.5]

make it into a rectangle then half the volume

[bobbinwales]

its just a triangle and a trapezum. YUou neeed to split the base .... think its a bit of pythagoras' to get the bottom edge of the tri-angle.
I'll leave you to do the sums

[bobbinwales]

or a triangle plus rectangle plus smaller triangle.

[ToraToraTora]

A=(a+b)/2*h
a and b are the parallel sides and h is the height.

[bobbinwales]

TTT will same its simple sums

[bobbinwales]

yes, just use trapezum area formula as TTT say's if you know that.... which you do now.... my way wor'ks but is messy

[Old_Geezer]

Split it into 3 parts, work out each, then add them together ?

[ToraToraTora]

18:54, yes or use the formula??

[bobbinwales]

Yes the 13 is a red herring you dont need it to get the answer

[bobbinwales]

All shows theres different ways to solve q's like this all giving the same answer .

[ToraToraTora]

There's a 5-12-13 RAT, a 4x5 reetange and 2 sides of another RAT 5x2. You can add all those up or just use the formula.

[Prudie]

https://www.google.com/search?q=what+is+the+area+of+a+trapezium&rlz=1C1VDKB_enGB1027GB1027&;oq=what+is+the+area+of+a+&aqs=chrome.3.69i57j0i512l9.10395j0j15&sourceid=chrome&ie=UTF-8

[bobbinwales]

think the other RAT is 5 x3 not 5x2 TTT????

[ToraToraTora]

yes bob, but you don't need it.

[ToraToraTora]

yes at 19:04 I meant 5*3

[THECORBYLOON]

TORATORATORA, you can, as you suggested, add up the three areas but your calculations would give the wrong answer.

[THECORBYLOON]

Using half the height multiplied by the sum of the parallel sides is a much faster method.

[Atheist]

Corby's right. Simple, memorable, fast and right.

[bobbinwales]

//Using half the height multiplied by the sum of the parallel sides is a much faster method.//
Yes that was the method TTT first suggested.
But its not a formula thats memorable for most of us or easy to understand why it works.... triangles and rectangles are easier to remember how to work out area's for

[Atheist]

bobbin; I think it's much easier to remember and to be honest people aren't too bothered about understanding the why's and wherefores they just want to know the recipe.
But then, I'm just thinking about those who want to know how to do stuff, not to understand the depths.