Plot of rectangular shape, the perimeter of which is 42 meters divided into two equal parts

| June 29, 2021 | education

Plot of rectangular shape, the perimeter of which is 42 meters divided into two equal parts in the shape of a square Find the area and perimeter of each part.

To solve this problem, remember that the perimeter of a rectangle is the sum of the lengths of all its sides. Since in a rectangle the opposite sides are equal, then P = 2 * (a + b), where a is the length, b is the width. Based on the fact that the rectangle was divided into two squares, then one of the sides of the square is the width of the rectangle. Since all sides are equal in the square, the length of the rectangle is also divided into two equal parts. We calculate the length of the side of the square, knowing that the perimeter of the rectangle is 42 cm. Dividing the length into two parts, it turns out that we are dividing the perimeter of the rectangle into 6 equal parts.
42/6 = 7 cm.
The side of the square is 7 cm.
The area of ​​a square is equal to the square of its side.
S = 7 * 7 = 49 cm ^ 2.
P = 4a = 4 * 7 = 28 cm.
Answer: 49 cm ^ 2; 28 cm.



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