Question

Polygon ABCD is a parallelogram, and m∠ABC = 127°. The length of AB is 10 units, and the length of BC is 5 units. What is the perimeter of the parallelogram?

a) 30 units
b) 40 units
c) 45 units
d) 50 units

Answer 1

The perimeter of parallelogram ABCD with side lengths AB = 10 units and BC = 5 units is calculated as the sum of all sides, resulting in a total of 30 units.The correct answer is option A.

Step-by-step explanation:

To determine the perimeter of parallelogram ABCD, we must remember that opposite sides of a parallelogram are equal in length. Since AB is 10 units, CD will also be 10 units, and since BC is 5 units, AD will also be 5 units.

The perimeter (P) of a parallelogram is the sum of the lengths of all sides: P = AB + BC + CD + AD. Thus, for parallelogram ABCD, P = 10 + 5 + 10 + 5 = 30 units.

Therefore, the correct answer to the question "What is the perimeter of the parallelogram?" is (a) 30 units.