The area of a square is 16x2 + 40x + 25 square units. Find the perimeter of the square.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 2(8x + 10).
We know that,
Area of square = side2
The area of a square is 16x2 + 40x + 25 square units
⇒ 16x2 + 40x + 25
⇒ 16x2 + 20x + 20x + 25
⇒ 4x(4x + 5) + 5(4x + 5)
⇒ (4x + 5)(4x + 5)
So,
⇒ side2 = (4x + 5)2
⇒ side = 4x + 5
Now,
Perimeter of square = 4 × side
⇒ 4 × (4x + 5)
⇒ 16x + 20 = 2(8x + 10)