Question

@phi @Luigi0210 @Compassionate @cwrw238 @amistre64 @thomaster can you help me with something?

Answer 1

Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.

Answer 2

You can always divide a shape into triangles and find the area of each triangle. However, the math gets a bit messy.

In this problem we can form a rectangle around the shape.
It's easy to find the area of the rectangle: width * height
then notice we have 4 triangles that are "cut out" of the rectangle.
all of them are easy to figure out. 1/ 2 base *height

Answer 3

I'm having a hard time visualizing that.

Answer 4

making triangles will be your best option, and maybe a large square in the middle. so use the triangle, and square area formulas.

Answer 5

Can someone draw it for me? I'm still confused.

Answer 6

find the area of the "box"
as the first step

Answer 7

The box is a square, with width 8 and height 8 (you can count these out)
what is its area ?

Answer 8

Ok one sec let me find the area

Answer 9

The area is 64

Answer 10

yes. now find the area of the top left triangle that is cut out of the square
count out the length of its base and height. then use 1/ 2 * base * height

do that for top right triangle and the bottom right triangle

for the bottom left triangle, its base is AE and its height is from the line AE to the point F

Answer 11

Top left is 7.5. working on the rest

Answer 12

http://www.sketchtoy.com/63125350

Answer 13

@robtobey @IMStuck can you help me with the rest?

Answer 14

what is 'the rest'? What do you not have an answer for?

Answer 15

He told me to find the area of the box, and then the area for the triangles in the box, but I don't know what to do next.

Answer 16

@ganeshie8

Answer 17

@tkhunny @dan815 @nincompoop

Answer 18

You've an 8x8 square. The area is 64 units^2
What is the area of the four white triangles?

Answer 19

The areas are 7.5, 5,5, and 3 of the four white triangles.

Answer 20

Why are there only 3 numbers?

Answer 21

there are four. 1 is 7.5, 2 is 5, 3 is 5, 4 is 3

Answer 22

two of them have an area of 5, unless i got it incorrect. :$

Answer 23

Okay, now subtract those from 64 and you should be done.

Answer 24

Okay, one second.

Answer 25

BTW I'm not seeing a 7.5. That looks like 9 to me. Try again.

Answer 26

I should use the areas as 9, 5, 5, and 3?

Answer 27

Is the answer 42?

Answer 28

Why are you asking me? Did you do it correctly? Did you make a deliberate error? No guessing!! Perform whatever is needed with confidence. Ask yourself. Is it right?

Answer 29

I did it the way you told me to, and I think it is correct. I was just curious if it was indeed correct.

Answer 30

I don't guess.

Answer 31

Yes, I get square is 64
the top left triangle is 1/ 2 * 3*6 = 9
top right is 1/ 2 * 2*5 = 5
bottom right is 1/ 2 * 2 *3= 3
bottom left is 1/ 2 * 5*2 = 5
sum of "cut outs" is 9+5+3+5= 22

area of "shape" is 64 - 22 = 42

which matches what you got.

Answer 32

Yay! Thank you. @phi to the rescue, once again!

Answer 33

No, phi did not rescue you. You rescued yourself and didn't find the courage to see it. THAT will get you there, not phi or tkhunny. YOU confirm it.

Answer 34

Thank you @tkhunny