Question 226598
A rectangle has a perimeter of 14 feet. Which could not be its area?
3.5 sq ft
6 sq ft
10 sq ft
12 sq ft
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Perimeter = 2L + 2W = 14
L+W = 7
Area = L*W = W*(7-W)
Choosing small values of W, eg, 0.1 --> A = 0.69 sq feet
The max value is at L = W = 3.5 --> A = 12.25 sq feet
Any value >0 and <=12.25 could be the area.
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All the values above could be the area.