Question

Quadrilateral A has side lengths of 6,9,9, and 12.

Quadrilateral B is a scaled copy of quadrilateral A, with its shortest side of length 2. what is the perimeter of Quadrilateral B?

what would the perimeter of B be?

Answer 1

12 units

Explanation:

Given quadrilateral A with side lengths 6, 9, 9, 12, you want the perimeter of similar quadrilateral B with shortest side 2.

Scale factor

The ratio of shortest sides is the scale factor from A to B:

2/6 = 1/3

The figures being similar (scaled copies) means all of B's sides are 1/3 the length of the corresponding sides of A: 2, 3, 3, 4.

Perimeter

To find the perimeter of B, you can add up its side lengths:

2 +3 +3 +4 = 12

Or, you can figure the perimeter of A and multiply by the scale factor:

(6 +9 +9 +12)/3 = 36/3 = 12

The perimeter of B is 12 units.