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Mathematics 14 Online
OpenStudy (alina123):

area of composed figures

OpenStudy (alina123):

jigglypuff314 (jigglypuff314):

number 1, it is made up of a trapezoid and a triangle area of trapezoid = (1/2)(base1 + base2)(height) = (1/2) (2+ (2+2+2)) (4) = ? area of triangle = (1/2)(base)(height) = (1/2)(2+2+2)(3) = ? then add them together to get the area of the pentagon :)

OpenStudy (alina123):

yeh i got 25

OpenStudy (alina123):

for number 2 do you count the half squares

jigglypuff314 (jigglypuff314):

the middle part of that figure would be a parallelogram with base of 1 and height of 2 area of parallelogram = base times height

OpenStudy (alina123):

i got 16 by 8 times 2 8 being 4 on bot sides

OpenStudy (alina123):

oh i see how you get 10, 8 pus 2

jigglypuff314 (jigglypuff314):

yep :)

OpenStudy (alina123):

how do u solve 3 though

jigglypuff314 (jigglypuff314):

http://prntscr.com/3ayzhk you have a trapezoid and a rectangle area of trapezoid = (1/2)(base1+base2)(height) = (1/2) ( 5 + 15 ) (7.5) = ? area of rectangle = (base) (height) = (15) (7.5) = ? then add them together

OpenStudy (alina123):

ok so 187.5 and number 4

jigglypuff314 (jigglypuff314):

number 4 is a little more complicated :) first understand that divided into 3 equal parts gives you http://prntscr.com/3az223

OpenStudy (alina123):

ok

jigglypuff314 (jigglypuff314):

Which can give you 3 overall areas two of which would be triangles http://prntscr.com/3az3bp you can then find the areas of the triangles and subtract it from the overall area of the rectangle

OpenStudy (alina123):

ok

jigglypuff314 (jigglypuff314):

so rectangle (total) area = 2 times 3 = ? left triangle = (1/2)(2)(2) = ? right triangle = (1/2)(3)(4/3) = ? total minus (triangle + triangle) = ? that last ? divided by total = answer

OpenStudy (alina123):

wht do u mean total minus triangle plus triangle

jigglypuff314 (jigglypuff314):

the three question marks before that... rectangle - triangle - triangle = ? when rectangle (total) area = 2 times 3 = ? left triangle = (1/2)(2)(2) = ? right triangle = (1/2)(3)(4/3) = ?

OpenStudy (alina123):

so 6 - 2- 1.9 or 2

jigglypuff314 (jigglypuff314):

yep :) then 2 divided by 6 = (simplify) = answer

OpenStudy (alina123):

oh ok

OpenStudy (alina123):

so 0.333 of the flag is painted red

OpenStudy (alina123):

i could write that as a fraction of 2/6

jigglypuff314 (jigglypuff314):

or 1/3 :P

OpenStudy (alina123):

k thanks

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