The area of the rectangle is 624m2. , width 24m. Find the area of a square whose perimeter is equal

| February 10, 2021 | education

The area of the rectangle is 624m2. , width 24m. Find the area of a square whose perimeter is equal to the perimeter of the rectangle.

In order to find the area of ​​a square, you need to know one side of it. One side can be found with the perimeter formula. The condition says that the perimeter of the rectangle is equal to the perimeter of the square.

First, let’s find the length of the rectangle:

Length = 624/24 = 26 centimeters.

Since there are two sides, we can find the perimeter:

P = 2 (a + b) = 2 * (24 + 26) = 100 centimeters.

Since the perimeters are equal, the perimeter of the square is 100 centimeters. With this formula, we can find one side. To do this, divide the perimeter by the number “4”, and we get 25 centimeters.

One side of the square is 25 centimeters. After that, we can find the area, for this, we bring the side to the square, and we get:

S = 25 * 25 = 625 square centimeters.



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