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

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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) About Me  (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

 x+=+%28-1+%2B-+sqrt%28+1%2B624%29%29%2F%284%29+  (tossing out negative solution for length)

x+=%28+-1+%2B+sqrt%28625%29%29%2F4+=+%28-1+%2B+25%29%2F4+=+24%2F4+=+6

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.