Question

Unexplained = REPORTED :)

Answer 1

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