The perimeter of a square is 44 cm. What is the area of another square if the side

| March 4, 2021 | education

The perimeter of a square is 44 cm. What is the area of another square if the side of the first square is 3 cm larger than the side of the other square?

First of all, we will determine the length of the side of the first square, for which the sum of all its sides, equal to 44 cm by the condition of the problem, is divided by the number of sides of the square, that is, by 4:

44: 4 = 11 (cm).

Also, from the condition, we know that the side of the first square is 3 cm larger than the side of the second square, that is, we can determine the length of the side of another square, for which we will reduce the result obtained by 3 cm. So, we get:

11 – 3 = 8 (cm).

Now we calculate the area of the second square, for which we will square the found length of its side:

S = 8² = 64 (cm²).

Answer: 64 cm².



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