In the given problem, apply your knowledge in algebraic expression in finding area and perimeter, as well dimensions.
Formula for finding area of square is s²
Formula for finding area of square is s²Formula for finding perimeter of square is 4s.
The area of a square is numerically equal to three times its perimeter.
A = 3P
If A = s², and P = 4s
s² = 3(4s)
s² = 12s
Solve for unknown variable using completing the square.
s² - 12s = 0
s² - 12s + 36 = 36
(s-6)² = 36
√(s-6)² = √36
s-6 = ±6
s = - 6 +6, s = 0
s = 6 + 6, s = 12
Learn more about area and finding dimensions here at brainly.ph/question/3945950
#CarryOnLearning
#BRAINLYFAST
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
In the given problem, apply your knowledge in algebraic expression in finding area and perimeter, as well dimensions.
Formula for finding area of square is s²
Formula for finding area of square is s²Formula for finding perimeter of square is 4s.
Statement
The area of a square is numerically equal to three times its perimeter.
Mathematical Equation
A = 3P
If A = s², and P = 4s
s² = 3(4s)
s² = 12s
Solve for s
Solve for unknown variable using completing the square.
s² = 12s
s² - 12s = 0
s² - 12s + 36 = 36
(s-6)² = 36
√(s-6)² = √36
s-6 = ±6
s = - 6 +6, s = 0
s = 6 + 6, s = 12
Answer: The lenght of each side of the square is 12 units.
Learn more about area and finding dimensions here at brainly.ph/question/3945950
#CarryOnLearning
#BRAINLYFAST