Question

ABCD is a square with AB = (x + 16) cm and
BC (3x) cm. The perimeter (in cm) is
(a) 16 (b) 24
(c) 32 (d) 96
​

Answer 1

Step-by-step explanation:

Ab=Bc

x+16=3x

2x=16

x=8

perimeter = 4x1

4x3(8)

4x24

=96cm

Answer 2

Answer :-

• The perimeter of square ABCD is 96cm.

Step-by-step explanation :

To Find :-

• The perimeter of square ABCD

Solution:

Given that,

• AB = ( x + 16 )cm
• BC = ( 3x )cm

∴ The side of square :-

We know,

• All sides of square are equal.

∴ AB = BC = CD = DA

⇒ ( 3x ) = ( x + 16 )

⇒ 3x = x + 16

⇒ 3x - x = 16

⇒ 2x = 16

⇒ x = 16/2

⇒ x = 8

The value of x is 8. Side of square :-

⇒ 3x

⇒ 3*8

⇒ 24cm.

Now, Perimeter of square :-

We know,

• Perimeter of square = 4 × side

⇒ 4 × side

⇒ 4 × 24

⇒ 96cm.

Hence, The perimeter of square ABCD is 96cm.