The deck’s area is 48 sq ft
Let x represent width
Let 2x represent length
First step is to find the perimeter
Using this formula
Perimeter = 2(length) + 2(width)
Let plug in the formula
2x+2(3x)=32
2x+6x=32
8x=32
x=32/8
x=4
Second step is to Substitute this value of x in the length and width.
width = 4ft
length = 12 ft (4×3)
Now let multiply these values to find the area.
Using this formula
Area = Length × Width
Let plug in the formula
Area=4ft ×12ft
Area=48 sq ft
Inconclusion the deck’s area is 48 sq ft
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