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Mathematics 17 Online
PositiveVibes:

Plz Give Me The Answer I need Help

PositiveVibes:

SmokeyBrown:

We can solve this problem by dividing the shape into two shapes with an easier area to solve, like in this drawing (not to scale) We see we are dealing with a 6 by 8.4 rectangle and a 6 by 8.4 triangle |dw:1646786927926:dw|

SmokeyBrown:

So, the area of the rectangle section would just be 6*8.4, which is equal to 50.4 Then, the area of the triangle section would be 6*8.4*1/2, which is equal to 25.2 Adding these areas together gives us 75.6, which should be the area of the complete shape

PositiveVibes:

Tysm I couldn't figure it out!

SmokeyBrown:

Wait, wait sorry, I misread the original picture

SmokeyBrown:

So, actually I am wrong haha. One second please...

SmokeyBrown:

Yeah, in my original drawing, I forgot about the part that extends to the top-right of the drawing. My bad. Good news is, we're dealing with a shape called a trapezoid, and there's a formula for finding the area of a trapezoid directly if we know the lengths of the parallel edges and the height--which we do: Area = 1/2*height*(parallel side 1 + parallel side 2) In this case, the height is 8.4 and the parallel sides have lengths of 6 and 12. Area = 1/2*8.4*(6+12) Area = 1/2*8.4*(18) Area = 4.2*(18) Area = 75.6

SmokeyBrown:

OK weird, so I got the right answer by using a different method which I assumed was wrong? Well, it happens I guess! And now you have two ways to get your answer :D

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