Mark has a rectangular driveway with a line painted diagonally across. The length of the driveway is 6 feet longer than its width. If the total area of the driveway is 40 square feet, what is the length of the painted line (in feet)?	Choose the correct choice from the following options: A) Between 9 and 10 B) Between 10 and 11 C) Between 11 and 12 D) Between 12 and 13 E) Between 13 and 14
To solve this, we first need to set up an equation for the area of the room. If x is the width, then we have   x(x + 6) = 40. By putting the equation in standard form, we get x^2+6x-40=0. By using the quadratic formula, we get roots of 4 and -10. We know that x is the width, and x+6 is the length, so by using the roots, we get 4 as the width (x), and 10 as the length (x+5).   Once we have this, we can use the Pythagorean Theorem to solve for the diagonal. Plugging in the length and width, we will get d^2=4^2+10^2   =16+100= 
<gadget id="calculator">16+100</gadget>
<output>116</output>
116   The square root of 97 is more than 10, since 10^2= 100. Going up a number, we can compute 11^2 = 121 &gt;116. Therefore, the length of the diagonal must be between 10 and 11.   The correct answer is Between 10 and 11.
<result>B</result>
Mark has a rectangular driveway with a line painted diagonally across. The length of the driveway is 6 feet longer than its width. If the total area of the driveway is 40 square feet, what is the length of the painted line (in feet)?