The new area of the rectangular fence is w^2 + 15w + 54. Option C
What is the area?
The formula for area of a rectangle is given as;
Area = length × width
From the information given, we have that;
- Length = 3 + w
- Dimensions should increase by 6 feet
width = w + 6
length = 3 + w + 6 = 9 + w
Substitute into the formula for area
Area = (w + 6) ( 9 + w)
expand the bracket
Area = 9w + w^2 + 54 + 6w
collect like terms
Area = w^2 + 9w + 6w + 54
Area = w^2 + 15w + 54
Thus, the new area of the rectangular fence is w^2 + 15w + 54. Option C
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