Question

help please

Answer 1

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

Answer 2

So for the shaded area we need to divide it into three sections two rectangles and a triangle to determine the total area

Answer 3

how do i do that

Answer 4

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=?

Answer 5

so i just multiply 8*2

Answer 6

Yes that will give you the area of the first rectangle so one of three parts of the shaded section

Answer 7

so its 16

Answer 8

Yep so that's the first one so let's do the second rectangle or the middle sort of section

Answer 9

ok

Answer 10

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

Answer 11

so just add 8 plus 2

Answer 12

Yep for that's all you have to do for that one cause the side length is 1

Answer 13

so 10

Answer 14

So the last part of the shaded area is the triangle and yes 10 is right for that second rectangle

Answer 15

ok so thats it

Answer 16

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

Answer 17

sorry i dont understand what that means

Answer 18

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

Answer 19

so i divide them all?

Answer 20

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

Answer 21

oh ok so just add all thre of those

Answer 22

Yes if you add those three together you will get the total area of the shaded area

Answer 23

which is 41

Answer 24

what about the non shaded area

Answer 25

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)

Answer 26

so add 8 and 16

Answer 27

You would multiply them together

Answer 28

oh ok

Answer 29

so 128

Answer 30

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

Answer 31

87

Answer 32

is the shaded area 41?

Answer 33

Yes that 87 would be the area for the non shaded section

Answer 34

The shaded area would be 41

Answer 35

THANK YOU SO MUCH

Answer 36

No problem! Happy to help!