The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle? Choose the correct choice from the following answers
A) 3
B) 4
C) 5
D) 6
E) 7
Solution   Let x be the length and let x - 2 be the width   Area = lenth × width = x × ( x - 2) = 24   x × ( x - 2) = 24   x2 + -2x = 24   x2 + -2x - 24 = 0   Since -24 = 4 × -6 and 4 + -6 = -2, we get:   (x + 4) × ( x + -6) = 0   This leads to two equations to solve:   x + 4 = 0 and x + -6 = 0   x + 4 = 0 gives x = -4. Reject this value since a dimension cannot be negative   x + -6 = 0 gives x = 6   Therefore, length = 6 and width = x - 2 = 6 - 2= 
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
4   Answer 4
<result>B</result>
The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle?