One side of the rectangle is 18 cm. The other is 6 times shorter. The side of the square is 8 cm.
One side of the rectangle is 18 cm. The other is 6 times shorter. The side of the square is 8 cm. Find the area of the rectangle and the area of the square. Determine how many square cm the area of the square is larger than the area of the rectangle.
1. Find the length of the second side of the rectangle. It is known that the first side of the rectangle is 18 cm, the other is 6 times smaller:
18/6 = 3 cm, second side;
2. Find the area of the rectangle. It is known that its first side is 18 cm, and the second 3 cm:
Sп = 18 * 3 = 54 cm², area of a rectangle;
3. Let’s find the area of the square if each of the sides is 8 cm:
Sк = 8² = 64 cm², square area;
4. Let’s calculate how many square centimeters the area of the square is larger than the area of the rectangle:
Sк – Sп = 64 – 54 = 10 cm², the difference in areas;
Answer: the area of the square is 10 cm² larger.