SOLUTION: This is from Activity Bank, INTEGRATED MATHEMATICS 1 Copyright by Houghton Mifflin Company. One of the world's largest paintings is "The Battle of Gettysburg." When it was compl

Question 196134: This is from Activity Bank, INTEGRATED MATHEMATICS 1 Copyright by Houghton Mifflin Company.
One of the world's largest paintings is "The Battle of Gettysburg." When it was completed in 1883 by a French artist and 16 assistants, it covered an area of 28,700 ft. The perimeter was 960 ft. Find thd length and width of the painting.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:
and this is equal to 28,700 sq.ft.
Now do the formula for the perimeter of a rectangle:
and this is equal to 960 ft.
Rewrite the perimeter as:
Divide both sides by 2.
Rearrange:
Substitute this for L in the area equation below:

Simplify.
Rearrange:
Factor:
Apply the zero product rule.
or so...
or Choose the smaller value for the width, W:
and...

The length of the painting is 410 ft.
The width of the painting is 70 ft.
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