Compare the area of a rectangle with sides 13.2 cm and 9.3 cm with the area of a square: a) with a side
Compare the area of a rectangle with sides 13.2 cm and 9.3 cm with the area of a square: a) with a side equal to the larger side of the rectangle; b) with a side equal to the smaller side of the rectangle. Find different solutions to this problem.
Decision.
1 way.
1. Find the area of the rectangle:
13.2 * 9.3 = 122.76 (cm).
2. Find the area of a square with a side equal to the larger side of the rectangle:
13.2 * 13.2 = 174.24 (cm).
3. Find the area of a square with a side equal to the smaller side of the rectangle:
9.3 * 9.3 = 86.49 (cm).
4. Compare the area of the squares with the area of the rectangle:
174.24 – 122.76 = 51.48 (cm);
122.76 – 86.49 = 36.27 (cm).
Method 2.
1. Let’s find how much the larger side differs from the smaller one:
13.2 – 9.3 = 3.9 (cm).
2. Compare the area of a square with a side of 13.2 cm with the area of a rectangle:
13.2 * 3.9 = 51.48 (cm).
3. Compare the area of a 9.3 cm square with the area of a rectangle:
9.3 * 3.9 = 36.27 (cm).
