The side of the square is 7 cm, and the side of the rectangle is 3 cm and 6 cm, compare the area
The side of the square is 7 cm, and the side of the rectangle is 3 cm and 6 cm, compare the area and perimeter of these figures.
Find the area of a square whose side is 7 cm. Raise the side of the square to the second power.
S = (7 cm) ² = 49 cm².
Find the perimeter of the square. Let’s multiply the side of the square by four.
P = 7 cm * 4 = 28 cm.
Find the area by rectangles with sides 3 cm and 6 cm. Multiply one side by the other.
S = 3 cm * 6 cm = 18 cm².
Find the perimeter of the rectangle. Add the two sides and multiply by 2.
P = (3 cm + 6 cm) * 2 = 18 cm.
Let’s compare the areas of the figures.
49 cm² – 18 cm² = 21 cm².
Let’s compare the perimeters of the shapes.
28 cm – 18 cm = 10 cm.
Answer: the area of the square is 21 cm² larger, the perimeter of the square is 10 cm larger.