Question

On a coordinate plane, the points (3,4) (8,4) (5,0) and (0,0) form a parallelogram. What is the perimeter of the parallelogram?

Question 15 options:

25


20


30


15

Answer 1

20

Explanation:

A parallelogram has 4 sides.

Each pair of opposite sides is congruent.

To find the perimeter, find the length of 2 adjacent sides and multiply by 2.

Length of side (0, 0) to (5, 0) is 5.

Length of side (5, 0) to (8, 4) is the hypotenuse of a right triangle with legs of lengths 3 and 4.

a² + b² = c²

3² + 4² = c²

c² = 9 + 16

c² = 25

c = √25

c = 5

The hypotenuse measures 5 units.

perimeter = 2(5 + 5)

perimeter = 2(10)

perimeter = 20