Question

.The length of a side of a square is given as 4 x + 5. which expression represents the perimeter of the square? *
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Answer 1

Answer :-

• The equation represents the perimeter of the square of side 4x + 5 is 16x + 20.

Step-by-step explanation :

To Find :-

• Which expression represents the perimeter of the square?

Solution :-

Given that,

• Length of a side of a square = 4x + 5

As we know that,

Perimeter of square = 4 × a

Where,

• a = side of a square

Therefore,

⟹ 4 × 4x + 5

⟹ ( 4 ) ( 4x + 5 )

⟹ ( 4 ) ( 4x ) + ( 4 ) ( 5 )

⟹ 16x + ( 4 ) ( 5 )

⟹ 16x + 20

Hence, the equation represents the perimeter of the square of side 4x + 5 is 16x + 20.

Now, Verification

• 4 × ( 4x + 5 ) = 16x + 20

We have,

• L.H.S = ( 4 ) ( 4x + 5 )
• R.H.S = 16x + 20

By evaluating L.H.S,

⟹ 4 × ( 4x + 5 )

⟹ ( 4 ) ( 4x + 5 )

⟹ ( 4 ) ( 4x ) + ( 4 ) ( 5 )

⟹ 16x + 20

• L.H.S = 16x + 20

Therefore,

• L.H.S = R.H.S

Hence, Verified !