The perimeter of a rectangular section is 42 m, it was divided into two equal parts
July 6, 2021 | education
| The perimeter of a rectangular section is 42 m, it was divided into two equal parts, each of which has the shape of a square. Find the area and perimeter of each piece.
Since the rectangle was divided into two equal squares, then its length should be twice the width.
Let’s say the width is x cm, then the length will be 2 * x cm.
Therefore, the perimeter of the site can be written as follows:
44 = 2 * (x + 2 * x),
44 = 6 * x,
x = 7 (cm).
Thus, each part is a square with a side of 7 cm and has a perimeter:
P = 4 * 7 = 28 cm
and area:
S = 7 * 7 = 49 cm².
Answer: P = 28 cm, S = 49 cm².
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