# Write down the expression for the perimeter of the triangle ABC and simplify it if: AB

Write down the expression for the perimeter of the triangle ABC and simplify it if: AB = y cm, BC is 4 times AB, and AC is 10 cm less than BC.

Perimeter P is the sum of the lengths of all sides of a flat geometric figure. So for a triangle, the perimeter is equal to the sum of its three sides.

If triangle ABC has one side AB = y cm, then the second – BC, which is 4 times more than AB, is equal to 4y cm, and the third – AC is 10 cm less than BC or 4y + 10 cm.

Thus, the perimeter of triangle ABC is

P = y + 4y + 4y + 10 (cm).

In order to simplify the expression, it is necessary to bring similar or sum up the terms with the unknown y, the perimeter has the form:

P = 5y + 10 cm. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.