Rectangle and square have the same S side of the square equal to 6 cm and one of the sides of the rectangle
Rectangle and square have the same S side of the square equal to 6 cm and one of the sides of the rectangle is 2 cm. Is the statement correct? 1. is the second side of the rectangle exactly 18 cm? 2.Pirimeter pr-ka 8cm more than square pyrimeter?
1. Considering that the length of each side of the square is 6 cm, we calculate the area (S) of the square:
S = 6 x 6 = 36 cm².
2. Let us denote by the symbol “a” the length of the unknown side of the rectangle.
3. Let’s compose the equation:
2 x a = 36;
a = 36: 2 = 18 cm.
4. Calculate the total length of the sides of the rectangle (perimeter):
2 x 2 + 2 x 18 = 40 cm.
5. We calculate the total length of the sides of the square (perimeter):
6 x 4 = 24 cm.
6. Calculate the difference between the perimeters of the specified geometric shapes:
40 – 24 = 16 cm.
Answer: the first statement is correct, the second statement does not correspond to reality, since the difference in the perimeters of the given geometric figures is 16 cm, not 8 cm.