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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.
Substitute this for L in the area equation below:
Apply the zero product rule.
Choose the smaller value for the width, W:
The length of the painting is 410 ft.
The width of the painting is 70 ft.