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:
<u>For a </u>g<u>iven Rectan</u>g<u>le:</u>
Length (l) = x + 2 and
Width (w) = x - 2 and
Area = 60 square unit
Now,
<u>A </u><u>=</u><u> </u><u>LW</u>
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
<h3>
<u>FOR </u><u>VERIFICATION</u><u> </u><u>ONLY:</u><u>-</u></h3>
A = (x + 2) × (x - 2)
60 = (8 + 2) × (8 - 2)
60 = (10) × (6)
60 = 60
Here, L.H.S = R.H.S
Hence Proved!
<u>-TheUnknownScientist</u><u> 72</u>