Answer:
Width = 5
Length = 11
Step-by-step explanation:
Let :
Width, = x
Length = 2x + 1
Area of rectangular garden is given as 55 ft²
Area of a rectangular garden, A = Length * width
Hence,
x * (2x + 1) = 55
2x² + x = 55
2x² + x - 55 = 0
Using the quadratic equation formula :
a = 2 ; b = 1, c = - 55
-b ± sqrt(b² - 4ac) / 2a
Using the quadratic equation solver to save computation time :
The roots are :
-5.5 and 5
Dimension can't be negative ; so x = 5
Hence,
width, x = 5
Length, 2x + 1 = 2(5) + 1 = 10 + 1 = 11
Hence,
Width = 5
Length = 11
