Question

The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles.

A picture of a rectangle is shown. The bottom of the rectangle is labeled 16 ft. The right side of the rectangle is labeled 8 ft. At the bottom left side of the rectangle there is a label that reads 2 ft. Inside the rectangle is a shaded region. The bottom of the region is labeled 8 ft and this side is perpendicular to the left side of the rectangle. The right side of the shaded region has a perpendicular line segment extending upward that is labeled 2 ft.

Answer 1

help plz!

Answer 2

Sorry ,
But the need to have a look at that picture
to help you out.

Answer 3

ok

Answer 4

does that help?

Answer 5

@AaronAndyson

Answer 6

The area of the entire rectangle is
8 times 16
that is 128 fft

Answer 7

So the fist answer to the first question is 128 ft.

Answer 8

Therefore the total area (shaded, plus unshaded) must equal 128 sq ft

Answer 9

Ok the answer to the first question is 128 ft

Answer 10

How did you get 32??
Show yo work.

Answer 11

I multiplied 8×2×2×1 and got 32

Answer 12

8 *2 *2 *1

Answer 13

That is what i thought the first answer was.

Answer 14

I think it shall be
8(2+2+1)
8(5)
so now what is 8 times 5?

Answer 15

40

Answer 16

so is the answer 40

Answer 17

It should be.

Answer 18

ok thanks now can you help on the second question in the picture?

Answer 19

@AaronAndyson

Answer 20

Nonshaded region = entire rectangle - shaded region
= 128 - 40

Answer 21

88?

Answer 22

so thats the answer

Answer 23

I think.

Answer 24

Ok thanks! :)

Answer 25

No problem.

Answer 26

The area of the shaded region can be solved by looking at the shaded region as being made up of:
rectangle of 2 by 8 ft. plus a rectangle of 1 by 10 ft topped with a triangle
with a height of 3 and a base of 10 ft. Sum those up for the shaded region.

Answer 27

You will come up with an area of 41 sq ft.
The unshaded would then be 128 - 41.

Answer 28

40 and 88 may be close, but 41 and 87 is better.

Answer 29

However, both answers do total up to the required total area.

Answer 30

I will try summing up the unshaded area and double check. The unshaded consist of the sum the following:
rectangle 2 x 16 = 32 sq ft
rectangle 2 x 8 = 16 sq ft
rectangle 4 x 6 = 24 sq ft
Triangle height of 3 ft and base 10 ft = area of 15 sq ft.
summing up = 87 sq ft

Answer 31

Hey, it works both ways.

Answer 32

Thanks! @radar