Question

Jake and his friends

are bowling. The area of
the rectangular lane is 14x2-x-3
square feet. If the width of the lane is
2x -1 feet, write an expression to
represent the length of the lane.
SOLUTION:

Answer 1

L = (14x^2 - x - 3) / (2x - 1)

Explanation:

The area of the rectangular lane is given as 14x^2 - x - 3 square feet.

Let's assume that the length of the lane is L feet. Then the formula for the area of a rectangle is:

Area = Length x Width

Substituting the values given in the question, we have:

14x^2 - x - 3 = L x (2x - 1)

To find an expression for the length of the lane, we can rearrange the equation to solve for L:

L = (14x^2 - x - 3) / (2x - 1)

Therefore, the expression that represents the length of the lane is:

L = (14x^2 - x - 3) / (2x - 1)