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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
So for the shaded area we need to divide it into three sections two rectangles and a triangle to determine the total area
how do i do that
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=?
so i just multiply 8*2
Yes that will give you the area of the first rectangle so one of three parts of the shaded section
so its 16
Yep so that's the first one so let's do the second rectangle or the middle sort of section
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
so just add 8 plus 2
Yep for that's all you have to do for that one cause the side length is 1
So the last part of the shaded area is the triangle and yes 10 is right for that second rectangle
ok so thats it
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
sorry i dont understand what that means
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
so i divide them all?
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
oh ok so just add all thre of those
Yes if you add those three together you will get the total area of the shaded area
which is 41
what about the non shaded area
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)
so add 8 and 16
You would multiply them together
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
is the shaded area 41?
Yes that 87 would be the area for the non shaded section
The shaded area would be 41
THANK YOU SO MUCH
No problem! Happy to help!