Question

The perimeter of a square is 52 cm. Calculate the area of the square.

Answer 1

Answer: 169 cm²

Step-by-step explanation: Remember that the formula

for the perimeter of a square is 4 times a side.

Therefore, since the perimeter of the given square is 52,

we have 52 = 4s and dividing both sides by 4, 13 = s.

Now, remember that the formula for the area of a square is s² and since

the length of a side of a given square is 13, we have (13)² or 169.

So the area of a square that has a perimeter of 52 cm is 169 cm².

Notice that we include square centimeters in our final answer because

we were given centimeters as our units in the original problem.

Answer 2

Answer:

169 $cm^{2}$

Step-by-step explanation:

Ok so we know that perimeter is when you add up all the side lengths of a given shape. Since we know it's 52, we can use that to help us!

A square means that all 4 sides are equal; all 4 side lengths are equal...

Now we can divide the perimeter by 4 (a square has 4 sides) to get the side lengths for one side of the square (when we get one side, we automatically have the other sides)

52 ÷ 4 = 13

The side lengths for the square is 13

Check...

13 + 13 + 13 + 13 = 52 CORRECT

Now that we have the side of the square, we can find the area...

A = b * h

A = 13 * 13

A = 169 $cm^{2}$

The area of the square is 169 $cm^{2}$

Hope this helped!

Have a supercalifragilisticexpialidocious day!