Answer :
The length and width of the rectangle is 12 and 10 respectively.
Let the consecutive integers be :
- a ; a+2
Area of rectangle = Length × width
120 = a(a + 2)
120 = a² + 2a
a² + 2a - 120 = 0
a² - 10a + 12a + 120 = 0
a(a - 10) + 12(a - 10)
a = 10 or a = -12
The width cannot be negative, Hence, width = 10
Length = a + 2
Length = 10 + 2
Length = 12
The length and width of the rectangle is 12 and 10 respectively.
