Question

The perimeter of a square is 24 feet. What is the area in square feet

Answer 1

Question -:

The perimeter of a square is 24 feet. What is the area in square feet.

Explanation -:

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.

`\small{ \underline{ \underline{ \red{\rm{ Calculating \: the \: side \: of \: the \: square}}}}}`

We know,

`\star \: \small\boxed{ \rm{ Perimeter_((square)) = 4 × side}}`

Substituting the values we get

`\small\bf 24 = 4 × s`

`\small\sf{ → (24)/(4) = s}`

`\small\sf{ → s = 6 \: feet}`

`\small{ \underline{ \underline{\rm \red{ Now, we \: will \: calculate \: the \: area }}}}`

We know,

`\star \: \small \boxed{{\rm Area_((square)) = side × side}}`

Substituting the values we get

`\small\rm {Area_((square)) = (6 × 6) feet² = 36 \: feet²}`

Hence, the area of the square is 36 feet².

Answer 2

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