The length of the batter's box on a softball field is 1 t more than twice the width. The ares of the batter's box is 55 ft^2. Find the length and width of the rectangular batter's box.

Answer:length = 11 feet

Width = 5 feet

Step-by-step 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