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Mathematics 20 Online
OpenStudy (rayman5766):

What is the area of the figure? http://static.k12.com/calms_media/media/1564500_1565000/1564707/1/da50a8e105c95ba2b02d0c060fa79b0955c72380/MS_IMB-1401012-1100604.jpg

OpenStudy (rayman5766):

@pooja195

OpenStudy (rayman5766):

@Data_LG2

OpenStudy (anonymous):

this is similar to the trapezoid problem you had before

OpenStudy (anonymous):

if you want to find the area of the whole figure, you should break it up into the area of the trapezoid + the area of the triangle. do you see what i mean?

OpenStudy (rayman5766):

yea a little keep going I think I will catch on

OpenStudy (anonymous):

like, you have a diamond shape, the top part being a trapezoid where Area = [(a+b)/2] * h and the bottom part being a triangle, of Area = (1/2)b*h so in order to find the area of the whole thing, first get the area of the seperate parts.

OpenStudy (rayman5766):

oh ok

OpenStudy (anonymous):

knowing the base of the triangle is 18, and the height is 12, can you find the area?

OpenStudy (anonymous):

likewise, for the trapezoid a = 14 and b = 18. the height, i'll leave you to figure out hehe

OpenStudy (rayman5766):

wouldn't the hight be 17

OpenStudy (anonymous):

the height of the diamond overall is 17. likewise, the height of the triangle is only 12

OpenStudy (anonymous):

leaving the rest of the height to the trapezoid. it's just a little extra step thrown into the problem for whatever reason lol

OpenStudy (rayman5766):

to get you confused because it worked on me

OpenStudy (anonymous):

lol yeah. it wouldnt be fun though if the told you everything =P

OpenStudy (anonymous):

they*

OpenStudy (anonymous):

do you know what the final area might be then?

OpenStudy (rayman5766):

204 dummy alert

OpenStudy (anonymous):

hmm. what did you get for the area of the triangle, and area of the trapezoid?

OpenStudy (anonymous):

Area of triangle = (18*12)/2 Area of trapezoid = [(14+18)/2] * 5

OpenStudy (rayman5766):

ok so triangle 108 and the trapezoid is 80

OpenStudy (anonymous):

yep. sorry computer like frekaing out hard to reply lol

OpenStudy (rayman5766):

ok so what do I do know do I divid are do I multiply

OpenStudy (anonymous):

well it would be Area of triangle plus Area of trapezoid or 108 + 80

OpenStudy (anonymous):

its like if you want to know the total area of your house, you could measure the floor as a rectangle and the roof as a triangle. then the total area of your house, is just the area of your roof + first floor

OpenStudy (rayman5766):

so 188

OpenStudy (anonymous):

indeed

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