Question

The perimeter of square is 76 cm find are of square ​

Answer 1

Answer:

Given the information above, the area of the square is 361 cm²

Step-by-step explanation:

A square is a shape with four equal sides. So, in order to find the area of the square, we must find the length of each individual side. We can do this by dividing the perimeter by 4 because a square has 4 equal sides meaning they have the same lengths.

The perimeter of the square is 76. So, let's divide 76 by 4.

76 ÷ 4 = 19

So, the lengths of each sides in the square is 19cm.

In order to find the area, we must multiply the length and the width together. Since a square has equal sides, then we will multiply 19 by 19 to get the area.

19 × 19 = 361

So, the area of the square is 361 cm²

Answer 2

Answer:

361 cm^2

Step-by-step explanation:

The area of a square can be found by squaring the side length.

$A=s^2$

A square has four equal sides. The perimeter is the sum of all four sides added together. Therefore, we can find one side length by dividing the perimeter by 4.

$s=\frac{p}{4}$

The perimeter is 76 centimeters.

$s=\frac{76 cm}{4}$

Divide 76 by 4.

$s=19 cm$

The side length is 19 centimeters.

Now we know the side length and can plug it into the area formula.

$A=s^2\\s=19cm$

$A= (19 cm)^2$

Evaluate the exponent.

(19cm)^2= 19 cm* 19cm=361 cm^2

$A= 361 cm^2$

The area of the square is 361 square centimeters.