Question

The prism shown below will be sliced by a plane perpendicular to the base along the dotted line AB. Points A and B are mid points of the equal edges.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0709_26/image0014e612fc6.jpg
What will be the approximate area of the shaded cross section?
Answer

15 cm2

42 cm2

60 cm2

85 cm2

Answer 1

@satellite73 can you help me please?

Answer 2

if i understand the picture, the height of the rectangle is 10 and the base we can find by finding the missing side of that little triangle on the bottom

Answer 3

no that isn't right hold on i have to think

Answer 4

mmmk thanks for helping me btw

Answer 5

i am gong to go with 42, here is my reasoning

Answer 6

since points A and B are half way up and the total is 6, the sides of that triangle on the bottom are both 3. since it is a right triangle we can find the hypotenuse by pythagoras
\[3^2+3^2=h^2\]
\[18=h^2\]
\[h=\sqrt{18}=4.24\] rounded
since the height of the rectangle is ten, the answer is
\[10\times 4.24=42.4\] but they have asked for "approximate area" so round to 42

Answer 7

thank-you!!!