Question

How do the perimeters of rectangles compare? If the original rectangle is 8 by 5 and the scaled factor is 64 by 40, what is the ratio of the perimeters?

1) The ratio of the perimeters is 1:1
2) The ratio of the perimeters is 8:5
3) The ratio of the perimeters is 64:40
4) The ratio of the perimeters cannot be determined

Answer 1

The perimeters of two rectangles can be compared by finding the sum of all the sides. The ratio of the perimeters is 64:40.

Step-by-step explanation:

The perimeters of rectangles can be compared by finding the sum of all the sides of the rectangle. The ratio of the perimeters of two rectangles can be determined by comparing the lengths of their corresponding sides.

In this case, the original rectangle is 8 by 5, so the perimeter is 2(8) + 2(5) = 16 + 10 = 26 units. The scaled rectangle is 64 by 40, so the perimeter is 2(64) + 2(40) = 128 + 80 = 208 units.

The ratio of the perimeters is 26:208, which simplifies to 1:8. Therefore, the correct answer is option 3) The ratio of the perimeters is 64:40.