Question
Download Solution PDFIf the area of a square is 16x2 + 16x + 4, what is the perimeter of the square?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Area of the square = 16x2 + 16x + 4
Formula Used:
Side of the square = √(Area)
Perimeter of the square = 4 × Side
Calculation:
Area = 16x2 + 16x + 4
We need to find the side length by taking the square root of the area:
Side = \(\sqrt{16x^2 + 16x + 4}\)
⇒ Side = √(4(4x2 + 4x + 1))
⇒ Side = √(4) × √(4x2 + 4x + 1)
⇒ Side = 2 × (2x + 1)
⇒ Side = 4x + 2
Perimeter = 4 × Side
⇒ Perimeter = 4 × (4x + 2)
⇒ Perimeter = 16x + 8
The perimeter of the square is 16x + 8.
Last updated on Dec 9, 2024
-> SSC Head Constable (AWO/TPO) 2025 Notification will be announced soon.
-> SSC Head Constable (AWO/TPO) Marks were out for the previous cycle. Candidates could check their marks from the official website till 15th February 2024.
-> The total number of vacancies for the SSC Head Constable 2025 Notification will be declared soon. The candidates earlier appeared for the exam for a total number of 857 vacancies for SSC Head Constable Recruitment for the 2022 cycle.
->The candidates who will be qualified in the CBE gets eligible for the Physical test. Candidates can improve their preparations and score high by referring to SSC Head Constable AWO TPO Previous Years Papers and SSC Head Constable (AWO/TPO) Mock Test.