Answer:
Option C
width = 6 units; length = 10 units
The Length and Width of Rectangle is 10 units and 6 units respectively
Step-by-step explanation:
For a given Rectangle:
Length (l) = x + 2 and
Width (w) = x - 2 and
Area = 60 square unit
Now,
A = LW
A = (x + 2) × (x - 2)
60 = x² - 2x + 2x - 4
60 = x² - 4
x² - 4 = 60
Add 4 both side we get,
x² - 4 + 4 = 60 + 4
x² = 64
Square root both side
√x² = √64
x = 8
Here, we get the value of x is 8
Now,
L = x + 2
L = 8 + 2 = 10
W = x - 2
W = 8 - 2 = 6
Thus, The Length and Width of Rectangle is 10 units and 6 units respectively
FOR VERIFICATION ONLY:-
A = (x + 2) × (x - 2)
60 = (8 + 2) × (8 - 2)
60 = (10) × (6)
60 = 60
Here, L.H.S = R.H.S
Hence Proved!
-TheUnknownScientist 72
