Answer:
Perimeter = 16ft
Step-by-step explanation:
Let the width(w) of the rectangle be x ft
The length(l) of the rectangle will be (x + 2) ft
Area of the rectangle is 15ft²
Area of a rectangle = l × w
(x + 2)x = 15
x² + 2x - 15 = 0
Applying the quadratic formula;
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) ÷ 2a
x = (-2 ± [tex]\sqrt{4 - -60}[/tex]) ÷ 2
x = 3 or -5
Since the width can't be negative, we take 3ft to be the value of our width
The length is therefore 3ft + 2ft = 5ft
Perimeter(p) = 2l + 2w
p = 2(5) + 2(3) = 16ft
