Question

4. In the figure above ABCD is a parallelogram with

mLB = 60°, BC = XC = AZ = 4, XZ BC. What
is the perimeter of parallelogram ABCD?

Answer 1

G. 24

Explanation:

The perimeter of the figure is the sum of its side lengths. The given dimensions tell us all of the side lengths.

Analysis

Triangle BCX is given as an isosceles triangle with a base angle of 60° and side lengths of 4. Such a triangle is equilateral, so all side lengths will have a measure of 4.

The given information tells us all sides that appear parallel are parallel, so the figure consists of 4 equilateral triangles. Every short line segment has length 4.

Perimeter

The perimeter is the length of 6 short line segments, so is ...

P = 6×4 = 24

The perimeter of parallelogram ABCD is 24 units.