A frame around a photo is 5 cm wide. The photograph is 20 cm long and 10 cm wide. What percentage of the entire area is the frame.

total length = 20 + 10 = 30

total width = 10 + 10 = 20
so
total area = 600
but area of photo itself = 20*10 = 200
so frame area = 400
400/600 * 100 = 67 % is frame

Well, well, well, we have ourselves a framed photograph! Let's do some math, shall we?

First, let's find the area of the entire frame. Since the frame is 5 cm wide around the photograph, we need to add 5 cm to both the length and the width of the photograph. That gives us a frame with dimensions of 30 cm long and 20 cm wide.

To find the area of the frame, we multiply the length by the width: 30 cm * 20 cm = 600 square cm.

Now, let's find the area of the photograph alone. The photograph has dimensions of 20 cm long and 10 cm wide, giving us an area of 20 cm * 10 cm = 200 square cm.

To calculate the percentage of the entire area that the frame occupies, we divide the area of the frame by the area of the entire thing (frame + photograph) and multiply it by 100.

(600 square cm / (600 square cm + 200 square cm)) * 100 = 600/800 * 100 = 75%.

So, drum roll, please... The frame occupies 75% of the entire area!

Remember, though, even though the frame takes up quite a chunk of the space, it's all about the memories captured in that little photograph that truly matter.

To find the percentage of the entire area that the frame occupies, we need to calculate the area of the frame and the area of the entire photo.

First, let's calculate the area of the frame:
The width of the frame is given as 5 cm, and the length and width of the photo are 20 cm and 10 cm, respectively.
To find the area of the frame, we subtract the area of the photo from the area of the entire rectangle (which includes the frame):
Area of the frame = (20 + 2 * 5) cm * (10 + 2 * 5) cm
= 30 cm * 20 cm
= 600 cm^2

Next, let's calculate the area of the entire photo:
Area of the photo = 20 cm * 10 cm
= 200 cm^2

Now, we can find the percentage of the entire area that the frame occupies:
Percentage of the frame = (Area of the frame / Area of the entire rectangle) * 100
= (600 cm^2 / 800 cm^2) * 100
= 0.75 * 100
= 75%

Therefore, the frame occupies 75% of the entire area.

To find the percentage of the entire area that the frame occupies, we first need to calculate the area of the photo and the area of the frame.

The area of the photo can be calculated by multiplying its length by its width:
Area of the photo = 20 cm * 10 cm = 200 cm²

The frame surrounding the photo is 5 cm wide on all sides. So, we can calculate the length and width of the framed photo by adding twice the frame width to the length and width of the original photo:
Length of the framed photo = 20 cm + 2 * 5 cm = 30 cm
Width of the framed photo = 10 cm + 2 * 5 cm = 20 cm

Now, we can calculate the area of the framed photo by multiplying its length by its width:
Area of the framed photo = 30 cm * 20 cm = 600 cm²

To calculate the area of just the frame, we can subtract the area of the original photo from the area of the framed photo:
Area of the frame = Area of the framed photo - Area of the photo
= 600 cm² - 200 cm²
= 400 cm²

Finally, we can calculate the percentage of the entire area occupied by the frame by dividing the area of the frame by the area of the framed photo and multiplying by 100:
Percentage of the area that the frame occupies = (Area of the frame / Area of the framed photo) * 100
= (400 cm² / 600 cm²) * 100
= 2/3 * 100
= 66.67%

Therefore, the frame occupies approximately 66.67% of the entire area.

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