Question

A 7-meter by 7-meter square is reduced so that each side is half as long as the original.

a. Describe the new square. (Side length)

b. Write the ratio of the perimeters in the order New:Original.

c. Write the ratio of the areas in the order New:Original.

Answer 1

Explanation:

1. 7m ÷ 2 = 3.5m
2. Part A: New square is 3.5-meter by 3.5-meter
3. The original square's perimeter is 7x4=28-meter.
4. The new square's perimeter is 3.5x4=12-meter
5. Part B: The ratio is 12:28 or 3:7
6. The original square's area is 7²=49 meter²
7. The new square's area is 3.5²=12.25 meter²
8. Part C: The ratio is 49:12.25