Question

Figure DEFG is equivalent to a trapezoid with a semicircle removed from its upper base.



What is the area of figure DEFG?

Answer 1

https://www.dropbox.com/s/8gu1yxvuppvea7n/Screenshot%202015-06-16%2023.44.12.png?dl=0

Answer 2

first step:
we have to compute the area of trapezoid, which is:
\[Area = \frac{{\left( {B + b} \right) \times h}}{2} = \frac{{\left( {14 + 8} \right) \times 5}}{2} = ...c{m^2}\]

Answer 3

55

Answer 4

that's right!

Answer 5

second step:
we have to compute the area of the half circle:
\[area = \pi \times 4 \times 4 = ...c{m^2}\]
please don't multiply by 3.14

Answer 6

XD okay

Answer 7

i got 16

Answer 8

oops.. the area is:
\[area = \frac{{\pi \times 4 \times 4}}{2} = ...c{m^2}\]

Answer 9

8

Answer 10

yes! it is 8*pi

Answer 11

B? :D

Answer 12

now the requested area is the subtraction between those areas, namely:
\[{\text{requested area}} = {\text{area of trapezoid - area of halfcircle}}\]

Answer 13

hint:
\[\begin{gathered}
{\text{requested area}} = {\text{area of trapezoid - area of halfcircle = }} \hfill \\
{\text{ = }}55 - 8\pi = ... \hfill \\
\end{gathered} \]

Answer 14

147.58 i think i didnt do it correctly

Answer 15

no, you don't have to multiply by 3.14, the right option is B as you wrote before

Answer 16

but then whhy did u put the pi ;-;

Answer 17

because the area of the half circle is:
8*pi

Answer 18

:I kay.

Answer 19

:)

Answer 20

Thanks. :)

Answer 21

:)

Answer 22

my face

Answer 23

lol ^

Answer 24

thanks for your picture! It is a beautiful gift :)

Answer 25

LOL. Well this time I didn't make it XDDDD but i'm glad you like it.

Answer 26

:)

Answer 27

Now i can sleep :) thank you Z_Z