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

March 29, 2021 | education

| **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.

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