Answer:
169 [tex]cm^{2}[/tex]
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 [tex]cm^{2}[/tex]
The area of the square is 169 [tex]cm^{2}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
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.
