Answer:
Step-by-step explanation:
Remark
You need 2 formulas to solve this. Use perimeter first and then area.
Formulas
P = 4s
Area = s^2
Givens
Perimeter = 24 feet
Solution
P = 4*s Substitute the value for P
24 feet = 4s Divide both sides by 4
24/4 = 4s/4
6 = s
Now use the area formula
Area = s^2 Substitute 6 for s
Area = 6^2
Area = 36 feet^2
Answer
Area = 36 ft^2
The perimeter of a square is 24 feet. What is the area in square feet.
In this question we are provided with the perimeter of the square and we are asked to calculate the area of the square. First we will calculate the side of the square and then we will calculate the area.
[tex] \small{ \underline{ \underline{ \red{\rm{ Calculating \: the \: side \: of \: the \: square}}}}}[/tex]
We know,
[tex] \star \: \small\boxed{ \rm{ Perimeter_{(square)} = 4 × side}}[/tex]
Substituting the values we get
[tex] \small\bf 24 = 4 × s[/tex]
[tex] \small\sf{ → \dfrac{24}{4} = s}[/tex]
[tex] \small\sf{ → s = 6 \: feet}[/tex]
[tex] \small{ \underline{ \underline{\rm \red{ Now, we \: will \: calculate \: the \: area }}}}[/tex]
We know,
[tex] \star \: \small \boxed{{\rm Area_{(square)} = side × side}}[/tex]
Substituting the values we get
[tex] \small\rm {Area_{(square)} = (6 × 6) feet² = 36 \: feet²}[/tex]
Hence, the area of the square is 36 feet².
