Answer:length = 11 feet
Width = 5 feet
Explanation:
Let L represent the length of the rectangular box.
Let W represent the width of the rectangular box.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The length of the batter's box on a softball field is 1 ft more than twice the width. It means that
L = 2W + 1
The areas of the batter's box is 55 ft^2. It means that
LW = 55
Substituting L = 2W + 1 into LW = 55, it becomes
W(2W + 1 ) = 55
2W² + W = 55
2W² + W - 55 = 0
2W² + 11W - 10W - 55 = 0
W(2W + 11) - 5(2W + 11) = 0
(W - 5) = 0 or 2W + 11 = 0
W = 5 or W = - 11/2
The width cannot be negative, hence, it is 5 ft
L = 2W + 1 = 2 × 5 + 1 = 10 + 1
L = 11 feet