A television screen is 40 cm high and 60 cm wide. The picture is compressed to 62.5 % of its original area, leaving a uniform dark strip around the outside. What are the dimensions of the reduced picture?

Printable View

- Sep 22nd 2008, 06:13 PMandrewpark2TV
A television screen is 40 cm high and 60 cm wide. The picture is compressed to 62.5 % of its original area, leaving a uniform dark strip around the outside. What are the dimensions of the reduced picture?

- Sep 23rd 2008, 09:21 AMluckyc1423
Would it not be 30cm by 50cm?

- Sep 23rd 2008, 11:29 AMSoroban
Hello, Andrew!

Quote:

A television screen is 40 cm high and 60 cm wide.

The picture is compressed to 62.5 % of its original area,

leaving a uniform dark strip around the outside.

What are the dimensions of the reduced picture?

Code:`: - - - 60 - - - - :`

- *-------------------* -

: | | x

: | *-----------* | -

: | | | | :

40 | | | | 40-2x

: | | | | :

: | *-----------* | -

: | | x

- *-------------------* -

: x : 60-2x : x :

The area of the picture is: . cm².

The area of the picture is the area of the screen:

. .

Factor: .

The dark strip is 5 cm wide.

Therefore, the dimensions of the picture are: .

*You're absolutely correct, Lucky!*