The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?
A
25cm
B
18cm
C
15cm
D
24cm
E
27cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area = L x B
L - B = 6
L = 6 + B
area = 135
B(6 + B) = B\(^2\) + 6B - 135 = 0
(B - 9)(B + 15) = 0
B = 9 or - 15
L = 6 + 9 = 15
Source: Myschool Past Questions Archive (Record #32592)