Answer:
The length is 14 m, and the width is 5.5 m.
Step-by-step explanation:
Let the width = x
The length is 2x + 3
area = length * width
77 = (2x + 3)x
2x^2 + 3x = 77
2x^2 + 3x - 77 = 0
(2x - 11)(x + 7) = 0
2x - 11 = 0 or x + 7 = 0
2x = 11 or x = -7
x = 5.5 or x = -7
Since the width of a rectangle cannot be a negative number, we discard the solution x = -7.
x = 5.5
The length is 2x + 2 = 2(5.5) + 3 = 11 + 3 = 14
Answer: The length is 14 m, and the width is 5.5 m.
