anonymous
  • anonymous
help please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
What is the area, in square feet, of the shaded region? Enter your answer in the box. square feet What is the area, in square feet, of the nonshaded region? Enter your answer in the box. square feet
anonymous
  • anonymous
taramgrant0543664
  • taramgrant0543664
So for the shaded area we need to divide it into three sections two rectangles and a triangle to determine the total area

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anonymous
  • anonymous
how do i do that
taramgrant0543664
  • taramgrant0543664
The first rectangle we will do is the bottom A=lw Where A is area, l is length and w is width So A =8x2=?
anonymous
  • anonymous
so i just multiply 8*2
taramgrant0543664
  • taramgrant0543664
Yes that will give you the area of the first rectangle so one of three parts of the shaded section
anonymous
  • anonymous
so its 16
taramgrant0543664
  • taramgrant0543664
Yep so that's the first one so let's do the second rectangle or the middle sort of section
anonymous
  • anonymous
ok
taramgrant0543664
  • taramgrant0543664
So the second rectangle A=lw =(1)(8+2) We get the 8+2 because the side length is split into two parts so we just have to put them together
anonymous
  • anonymous
so just add 8 plus 2
taramgrant0543664
  • taramgrant0543664
Yep for that's all you have to do for that one cause the side length is 1
anonymous
  • anonymous
so 10
taramgrant0543664
  • taramgrant0543664
So the last part of the shaded area is the triangle and yes 10 is right for that second rectangle
anonymous
  • anonymous
ok so thats it
taramgrant0543664
  • taramgrant0543664
A=bh/2 Where b is the base (8-2-2-1)=3 and h is the height 8+2=10 So A= (3)(10)/2
anonymous
  • anonymous
sorry i dont understand what that means
taramgrant0543664
  • taramgrant0543664
The area of a triangle is represented by Area= base times height all divided by two A=bh/2 A=(3)(10)/2 A=30/2 A=15
anonymous
  • anonymous
so i divide them all?
taramgrant0543664
  • taramgrant0543664
There are three parts to the shaded area so to find the total area of the shaded section so the total area=16+10+15
anonymous
  • anonymous
oh ok so just add all thre of those
taramgrant0543664
  • taramgrant0543664
Yes if you add those three together you will get the total area of the shaded area
anonymous
  • anonymous
which is 41
anonymous
  • anonymous
what about the non shaded area
taramgrant0543664
  • taramgrant0543664
So to find the area of the no shaded area first we need to find the total area of the square A=lw A=(8)(16)
anonymous
  • anonymous
so add 8 and 16
taramgrant0543664
  • taramgrant0543664
You would multiply them together
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
so 128
taramgrant0543664
  • taramgrant0543664
Yes so that's the area of both the non shaded area and the shaded area so you just need to subtract the shaded area from that total area to find the non shaded area So 128-41= the nonshaded area
anonymous
  • anonymous
87
anonymous
  • anonymous
is the shaded area 41?
taramgrant0543664
  • taramgrant0543664
Yes that 87 would be the area for the non shaded section
taramgrant0543664
  • taramgrant0543664
The shaded area would be 41
anonymous
  • anonymous
THANK YOU SO MUCH
taramgrant0543664
  • taramgrant0543664
No problem! Happy to help!

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