Write the area of the trapezoid in terms of a and b.

Question

anonymous · Answer

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apoorvk · Answer

Okay do you know that the area of a trapezoid = (1/2)*(sum of parallel sides)*height. ??

lgbasallote · Answer

this isnt any ordinary trapezoid...

lgbasallote · Answer

the area of this is the sum of the area of the three triangles

apoorvk · Answer

yeah, but i don't even need to find the area of the three triangles, though lgba, you are right too.

The length of the two parallel sides = a and b each.

height of the trapezoid (or distance between the parallel sides) = a + b

Can you work this out now, @JessAmazzing

lgbasallote · Answer

it seems so

anonymous · Answer

I'm confuseddddd. lol

apoorvk · Answer

no worries.

what's the length of each parallel side? And so what would be their sum??

apoorvk · Answer

C'mon, calm down and try to think - this is a stupid problem, you'll be able to get this in a jiffy. @JessAmazzing

binary3i · Answer

|dw:1338400172456:dw|
area of P is ab/2
of Q is c^2/2
of R is ab/2 as P and R are triangles, also Q but it is half of the square of side c