SOLUTION: The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is 78 ft2 . Find the length and width of the rectangular batte

Algebra.Com
Question 1173187: The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is
78 ft2
. Find the length and width of the rectangular batter's box.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
.
The length of the batter's box on a softball field is 1ft more than twice the width (x).
The area of the pool is 78 ft^2. |Note the use of '' ^ ''
w is x
L is (2x+1)
A = Lw
78ft^2 = (2x + 1)(x)
2x^2 + x - 78 = 0
Solving using the Pythagorean Theorem
(tossing out negative solution for length)

x = 6ft the width of the batter's box
L = 2x +x = 13ft
Checking our Answer
6ft*13ft =78ft^2
Wish You the Best in your Studies.
RELATED QUESTIONS

The length of the batter's box on a softball field is 1 ft more than twice the width. The (answered by Alan3354)
The height of a rectangular box is 4 ft. The length is 1 ft longer than twice the width... (answered by greenestamps)
The volume of a rectangular box is 6 ft^3 more than twice the volume of a cube. The... (answered by ankor@dixie-net.com)
A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and... (answered by solver91311)
The height of a rectangular box is 8 ft. the length is 5 ft longer than twice the width... (answered by ikleyn)
Suppose a baseball pitcher throws fastballs 80% of the time and curveballs 20% of the... (answered by Theo)
The length of a rectangle is 1 ft. more than twice the width. The area is 55 sq. ft.... (answered by checkley77)
The perimeter of a rectangular field is 92ft. The length is 4 ft. More than twice the... (answered by fractalier)
the length of a garden is 4 more than twice it's width and it's area is 38 gg meters.... (answered by Alan3354,ikleyn,josgarithmetic)