A trapezoid has base lengths 4 in. and 8 in. and height 8 in. What happens to the area and the perimeter of the trapezoid when its bases and height are all multiplied by 1/8 (one-eighth)?

Question

directrix · Answer

Options:

A.The perimeter is multiplied by 1/64. The area is multiplied by 1/64.
 B.The perimeter is multiplied by 1/8. The area is multiplied by 1/64.
 C.The perimeter is multiplied by 1/4. The area is multiplied by 1/8.
 D.The perimeter is multiplied by 1/4. The area is multiplied by 1/16.

directrix · Answer

If two polygons are similar, then the ratio of the corresponding sides is the same as the ratio of the perimeters. So, the ratio of the perimeters is 1/8.

If two polygons are similar, then the square of the scale factor is the ratio of the areas of the two polygons. The square of 1/8 is ? @justinisaac