SOLUTION: steve's photograph is thrice as long as it is wide. It mounted so that a border 2cm wide completely surrounds the photograph. Find the dimensions of the photograph if the area

Question 1022746: steve's photograph is
thrice as long as it is wide. It
mounted so that a border 2cm wide
completely surrounds the
photograph. Find the dimensions of
the photograph if the area of the
border is 200 cm squared
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Picture is x by 3x.
Picture's area is 3x^2.

Border has uniform width, surrounding the picture, 2 cms.

Total area is
.

JUST the area of the border is 200 SQUARE CENTIMETERS.
JUST the area of the border is .
Simplify and solve this equation. You will have x from which to evaluate 3x.

Steps from there:

, and you can find 3x from this.
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